11249697976272 has 60 divisors (see below), whose sum is σ = 35981176863840. Its totient is φ = 3214199421504.

The previous prime is 11249697976241. The next prime is 11249697976289. The reversal of 11249697976272 is 27267979694211.

11249697976272 is a `hidden beast` number, since 1 + 1 + 2 + 496 + 9 + 7 + 9 + 7 + 62 + 72 = 666.

It is a super-3 number, since 3×11249697976272³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11249697976272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5580206322 + ... + 5580208337.

It is an arithmetic number, because the mean of its divisors is an integer number (599686281064).

Almost surely, 2^{11249697976272} is an apocalyptic number.

11249697976272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11249697976272 is an abundant number, since it is smaller than the sum of its proper divisors (24731478887568).

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

11249697976272 is a wasteful number, since it uses less digits than its factorization.

11249697976272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11160414680 (or 11160414671 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 11249697976272 in words is "eleven trillion, two hundred forty-nine billion, six hundred ninety-seven million, nine hundred seventy-six thousand, two hundred seventy-two".