10753802010369 has 64 divisors (see below), whose sum is σ = 17592402078720. Its totient is φ = 6437788669440.

The previous prime is 10753802010361. The next prime is 10753802010379. The reversal of 10753802010369 is 96301020835701.

10753802010369 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 3 + 80 + 201 + 0 + 369 = 666.

It is not a de Polignac number, because 10753802010369 - 2³ = 10753802010361 is a prime.

It is a super-2 number, since 2×10753802010369² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10753802010361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150655882 + ... + 150727244.

It is an arithmetic number, because the mean of its divisors is an integer number (274881282480).

Almost surely, 2^{10753802010369} is an apocalyptic number.

It is an amenable number.

10753802010369 is a deficient number, since it is larger than the sum of its proper divisors (6838600068351).

10753802010369 is a wasteful number, since it uses less digits than its factorization.

10753802010369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77579 (or 77573 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10753802010369 in words is "ten trillion, seven hundred fifty-three billion, eight hundred two million, ten thousand, three hundred sixty-nine".