47853365760 has 640 divisors, whose sum is σ = 183279697920. Its totient is φ = 11800166400.

The previous prime is 47853365759. The next prime is 47853365761. The reversal of 47853365760 is 6756335874.

47853365760 is a `hidden beast` number, since 47 + 8 + 533 + 6 + 5 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (47853365759) and next prime (47853365761).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×47853365760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47853365697 and 47853365706.

It is not an unprimeable number, because it can be changed into a prime (47853365761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49282075 + ... + 49283045.

It is an arithmetic number, because the mean of its divisors is an integer number (286374528).

Almost surely, 2^47853365760 is an apocalyptic number.

47853365760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47853365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91639848960).

47853365760 is an abundant number, since it is smaller than the sum of its proper divisors (135426332160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47853365760 is a wasteful number, since it uses less digits than its factorization.

47853365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 47853365760 in words is "forty-seven billion, eight hundred fifty-three million, three hundred sixty-five thousand, seven hundred sixty".