11305970271264 has 24 divisors (see below), whose sum is σ = 29678171962320. Its totient is φ = 3768656757056.

The previous prime is 11305970271259. The next prime is 11305970271307. The reversal of 11305970271264 is 46217207950311.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58885261734 + ... + 58885261925.

It is an arithmetic number, because the mean of its divisors is an integer number (1236590498430).

Almost surely, 2^{11305970271264} is an apocalyptic number.

It is an amenable number.

11305970271264 is an abundant number, since it is smaller than the sum of its proper divisors (18372201691056).

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

11305970271264 is a wasteful number, since it uses less digits than its factorization.

11305970271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117770523672 (or 117770523664 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 11305970271264 in words is "eleven trillion, three hundred five billion, nine hundred seventy million, two hundred seventy-one thousand, two hundred sixty-four".