968806890390528 has 528 divisors, whose sum is σ = 3300787470130176. Its totient is φ = 267822672445440.

The previous prime is 968806890390487. The next prime is 968806890390551. The reversal of 968806890390528 is 825093098608869.

968806890390528 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 0 + 6 + 89 + 0 + 3 + 9 + 0 + 528 = 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, 11385228750 + ... + 11385313842.

Almost surely, 2^{968806890390528} 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 968806890390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650393735065088).

968806890390528 is an abundant number, since it is smaller than the sum of its proper divisors (2331980579739648).

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

968806890390528 is a wasteful number, since it uses less digits than its factorization.

968806890390528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90850 (or 90829 counting only the distinct ones).

The product of its (nonzero) digits is 3224862720, while the sum is 81.

The spelling of 968806890390528 in words is "nine hundred sixty-eight trillion, eight hundred six billion, eight hundred ninety million, three hundred ninety thousand, five hundred twenty-eight".