10120636538496 has 768 divisors, whose sum is σ = 33998174945280. Its totient is φ = 2855876198400.

The previous prime is 10120636538401. The next prime is 10120636538521. The reversal of 10120636538496 is 69483563602101.

10120636538496 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 63 + 6 + 538 + 49 + 6 = 666.

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, 9175553881 + ... + 9175554983.

It is an arithmetic number, because the mean of its divisors is an integer number (44268456960).

Almost surely, 2^{10120636538496} is an apocalyptic number.

10120636538496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120636538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999087472640).

10120636538496 is an abundant number, since it is smaller than the sum of its proper divisors (23877538406784).

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

10120636538496 is a wasteful number, since it uses less digits than its factorization.

10120636538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 10120636538496 in words is "ten trillion, one hundred twenty billion, six hundred thirty-six million, five hundred thirty-eight thousand, four hundred ninety-six".