52697001600 has 768 divisors, whose sum is σ = 207629568000. Its totient is φ = 13010595840.

The previous prime is 52697001583. The next prime is 52697001629. The reversal of 52697001600 is 610079625.

52697001600 is a `hidden beast` number, since 526 + 9 + 70 + 0 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77154859 + ... + 77155541.

It is an arithmetic number, because the mean of its divisors is an integer number (270351000).

Almost surely, 2^52697001600 is an apocalyptic number.

52697001600 is a gapful number since it is divisible by the number (50) 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 52697001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103814784000).

52697001600 is an abundant number, since it is smaller than the sum of its proper divisors (154932566400).

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

52697001600 is a wasteful number, since it uses less digits than its factorization.

52697001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 52697001600 in words is "fifty-two billion, six hundred ninety-seven million, one thousand, six hundred".