47597200560 has 900 divisors, whose sum is σ = 208466956368. Its totient is φ = 10031164416.

The previous prime is 47597200421. The next prime is 47597200583. The reversal of 47597200560 is 6500279574.

47597200560 is a `hidden beast` number, since 4 + 7 + 597 + 2 + 0 + 0 + 56 + 0 = 666.

It is a super-2 number, since 2×47597200560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660437 + ... + 53661323.

Almost surely, 2^47597200560 is an apocalyptic number.

47597200560 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 47597200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104233478184).

47597200560 is an abundant number, since it is smaller than the sum of its proper divisors (160869755808).

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

47597200560 is a wasteful number, since it uses less digits than its factorization.

47597200560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 47597200560 in words is "forty-seven billion, five hundred ninety-seven million, two hundred thousand, five hundred sixty".