52357435600896 has 624 divisors, whose sum is σ = 158376374108160. Its totient is φ = 16644591452160.

The previous prime is 52357435600819. The next prime is 52357435600907. The reversal of 52357435600896 is 69800653475325.

It is a happy number.

52357435600896 is a `hidden beast` number, since 5 + 2 + 3 + 57 + 435 + 60 + 0 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36793699641 + ... + 36793701063.

It is an arithmetic number, because the mean of its divisors is an integer number (253808291840).

Almost surely, 2^{52357435600896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52357435600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79188187054080).

52357435600896 is an abundant number, since it is smaller than the sum of its proper divisors (106018938507264).

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

52357435600896 is a wasteful number, since it uses less digits than its factorization.

52357435600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 52357435600896 in words is "fifty-two trillion, three hundred fifty-seven billion, four hundred thirty-five million, six hundred thousand, eight hundred ninety-six".