47556495360 has 768 divisors, whose sum is σ = 194358528000. Its totient is φ = 10908794880.

The previous prime is 47556495331. The next prime is 47556495367. The reversal of 47556495360 is 6359465574.

47556495360 is a `hidden beast` number, since 4 + 75 + 56 + 495 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 47556495297 and 47556495306.

It is not an unprimeable number, because it can be changed into a prime (47556495367) 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, 57783909 + ... + 57784731.

It is an arithmetic number, because the mean of its divisors is an integer number (253071000).

Almost surely, 2^47556495360 is an apocalyptic number.

47556495360 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 47556495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97179264000).

47556495360 is an abundant number, since it is smaller than the sum of its proper divisors (146802032640).

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

47556495360 is a wasteful number, since it uses less digits than its factorization.

47556495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 47556495360 in words is "forty-seven billion, five hundred fifty-six million, four hundred ninety-five thousand, three hundred sixty".