47520076560 has 160 divisors (see below), whose sum is σ = 161017372800. Its totient is φ = 11497574400.

The previous prime is 47520076553. The next prime is 47520076627. The reversal of 47520076560 is 6567002574.

It is a super-2 number, since 2×47520076560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358166 + ... + 1392714.

It is an arithmetic number, because the mean of its divisors is an integer number (1006358580).

Almost surely, 2^47520076560 is an apocalyptic number.

47520076560 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 47520076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80508686400).

47520076560 is an abundant number, since it is smaller than the sum of its proper divisors (113497296240).

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

47520076560 is a wasteful number, since it uses less digits than its factorization.

47520076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35097 (or 35091 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 47520076560 in words is "forty-seven billion, five hundred twenty million, seventy-six thousand, five hundred sixty".