9901894715856 has 1600 divisors, whose sum is σ = 35991808376832. Its totient is φ = 2586608640000.

The previous prime is 9901894715807. The next prime is 9901894715891. The reversal of 9901894715856 is 6585174981099.

9901894715856 is a `hidden beast` number, since 9 + 90 + 18 + 9 + 471 + 5 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29915089611 + ... + 29915089941.

Almost surely, 2^{9901894715856} 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 9901894715856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995904188416).

9901894715856 is an abundant number, since it is smaller than the sum of its proper divisors (26089913660976).

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

9901894715856 is a wasteful number, since it uses less digits than its factorization.

9901894715856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 9901894715856 in words is "nine trillion, nine hundred one billion, eight hundred ninety-four million, seven hundred fifteen thousand, eight hundred fifty-six".