11472084960 has 96 divisors (see below), whose sum is σ = 41299517952. Its totient is φ = 2622190080.

The previous prime is 11472084947. The next prime is 11472084979. The reversal of 11472084960 is 6948027411.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703796 + ... + 1710515.

It is an arithmetic number, because the mean of its divisors is an integer number (430203312).

Almost surely, 2^11472084960 is an apocalyptic number.

11472084960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11472084960 is an abundant number, since it is smaller than the sum of its proper divisors (29827432992).

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

11472084960 is a wasteful number, since it uses less digits than its factorization.

11472084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414336 (or 3414328 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 11472084960 in words is "eleven billion, four hundred seventy-two million, eighty-four thousand, nine hundred sixty".