235696505696532 has 288 divisors, whose sum is σ = 626071464345600. Its totient is φ = 74692108198656.

The previous prime is 235696505696527. The next prime is 235696505696557.

235696505696532 is a `hidden beast` number, since 2 + 3 + 5 + 6 + 9 + 6 + 5 + 0 + 569 + 6 + 53 + 2 = 666.

235696505696532 is nontrivially palindromic in base 10.

It is a congruent number.

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, 11473314253 + ... + 11473334795.

It is an arithmetic number, because the mean of its divisors is an integer number (2173859251200).

Almost surely, 2^{235696505696532} 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 235696505696532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313035732172800).

235696505696532 is an abundant number, since it is smaller than the sum of its proper divisors (390374958649068).

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

235696505696532 is a wasteful number, since it uses less digits than its factorization.

235696505696532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21795 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 2361960000, while the sum is 72.

The spelling of 235696505696532 in words is "two hundred thirty-five trillion, six hundred ninety-six billion, five hundred five million, six hundred ninety-six thousand, five hundred thirty-two".