11975578272 has 96 divisors (see below), whose sum is σ = 39918614400. Its totient is φ = 3421592064.

The previous prime is 11975578261. The next prime is 11975578313. The reversal of 11975578272 is 27287557911.

11975578272 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 557 + 82 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 983997 + ... + 996092.

It is an arithmetic number, because the mean of its divisors is an integer number (415818900).

Almost surely, 2^11975578272 is an apocalyptic number.

11975578272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11975578272 is an abundant number, since it is smaller than the sum of its proper divisors (27943036128).

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

11975578272 is a wasteful number, since it uses less digits than its factorization.

11975578272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980115 (or 1980101 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 54.

The spelling of 11975578272 in words is "eleven billion, nine hundred seventy-five million, five hundred seventy-eight thousand, two hundred seventy-two".