10010195924664 has 512 divisors, whose sum is σ = 30928784947200. Its totient is φ = 2666323968000.

The previous prime is 10010195924621. The next prime is 10010195924671. The reversal of 10010195924664 is 46642959101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 887974132 + ... + 887985404.

It is an arithmetic number, because the mean of its divisors is an integer number (60407783100).

Almost surely, 2^{10010195924664} 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 10010195924664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464392473600).

10010195924664 is an abundant number, since it is smaller than the sum of its proper divisors (20918589022536).

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

10010195924664 is a wasteful number, since it uses less digits than its factorization.

10010195924664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11615 (or 11611 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 10010195924664 in words is "ten trillion, ten billion, one hundred ninety-five million, nine hundred twenty-four thousand, six hundred sixty-four".