10136239251264 has 252 divisors, whose sum is σ = 33864399432864. Its totient is φ = 2890306718208.

The previous prime is 10136239251253. The next prime is 10136239251301. The reversal of 10136239251264 is 46215293263101.

10136239251264 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 623 + 9 + 2 + 5 + 12 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13839679 + ... + 14553665.

It is an arithmetic number, because the mean of its divisors is an integer number (134382537432).

Almost surely, 2^{10136239251264} is an apocalyptic number.

10136239251264 is a gapful number since it is divisible by the number (14) 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 10136239251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932199716432).

10136239251264 is an abundant number, since it is smaller than the sum of its proper divisors (23728160181600).

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

10136239251264 is a wasteful number, since it uses less digits than its factorization.

10136239251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714522 (or 714502 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10136239251264 in words is "ten trillion, one hundred thirty-six billion, two hundred thirty-nine million, two hundred fifty-one thousand, two hundred sixty-four".