10555791264 has 96 divisors (see below), whose sum is σ = 31158872640. Its totient is φ = 3476180736.

The previous prime is 10555791263. The next prime is 10555791271. The reversal of 10555791264 is 46219755501.

It is a happy number.

10555791264 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 579 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10555791264² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10555791263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887 + ... + 145310.

It is an arithmetic number, because the mean of its divisors is an integer number (324571590).

Almost surely, 2^10555791264 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 10555791264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579436320).

10555791264 is an abundant number, since it is smaller than the sum of its proper divisors (20603081376).

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

10555791264 is a wasteful number, since it uses less digits than its factorization.

10555791264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147299 (or 147285 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 10555791264 in words is "ten billion, five hundred fifty-five million, seven hundred ninety-one thousand, two hundred sixty-four".