47506858560 has 896 divisors, whose sum is σ = 198349209600. Its totient is φ = 10480803840.

The previous prime is 47506858549. The next prime is 47506858561. The reversal of 47506858560 is 6585860574.

47506858560 is a `hidden beast` number, since 4 + 7 + 50 + 6 + 8 + 585 + 6 + 0 = 666.

It is a super-2 number, since 2×47506858560² (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 = 47506858497 and 47506858506.

It is not an unprimeable number, because it can be changed into a prime (47506858561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291453039 + ... + 291453201.

Almost surely, 2^47506858560 is an apocalyptic number.

47506858560 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 47506858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99174604800).

47506858560 is an abundant number, since it is smaller than the sum of its proper divisors (150842351040).

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

47506858560 is a wasteful number, since it uses less digits than its factorization.

47506858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 47506858560 in words is "forty-seven billion, five hundred six million, eight hundred fifty-eight thousand, five hundred sixty".