10119755664 has 60 divisors (see below), whose sum is σ = 28329771600. Its totient is φ = 3372238272.

The previous prime is 10119755663. The next prime is 10119755693. The reversal of 10119755664 is 46655791101.

10119755664 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 97 + 556 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10119755663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587527 + ... + 604505.

It is an arithmetic number, because the mean of its divisors is an integer number (472162860).

Almost surely, 2^10119755664 is an apocalyptic number.

It is an amenable number.

10119755664 is an abundant number, since it is smaller than the sum of its proper divisors (18210015936).

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

10119755664 is a wasteful number, since it uses less digits than its factorization.

10119755664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132 (or 21123 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10119755664 in words is "ten billion, one hundred nineteen million, seven hundred fifty-five thousand, six hundred sixty-four".