10096725859416 has 480 divisors, whose sum is σ = 33642839332080. Its totient is φ = 2819991283200.

The previous prime is 10096725859399. The next prime is 10096725859463. The reversal of 10096725859416 is 61495852769001.

10096725859416 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 6 + 7 + 2 + 585 + 9 + 41 + 6 = 666.

It is a super-2 number, since 2×10096725859416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 315694146 + ... + 315726126.

Almost surely, 2^{10096725859416} 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 10096725859416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821419666040).

10096725859416 is an abundant number, since it is smaller than the sum of its proper divisors (23546113472664).

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

10096725859416 is a wasteful number, since it uses less digits than its factorization.

10096725859416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32237 (or 32217 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 10096725859416 in words is "ten trillion, ninety-six billion, seven hundred twenty-five million, eight hundred fifty-nine thousand, four hundred sixteen".