11472652800 has 720 divisors, whose sum is σ = 48205789632. Its totient is φ = 2550988800.

The previous prime is 11472652769. The next prime is 11472652801. The reversal of 11472652800 is 825627411.

11472652800 is a `hidden beast` number, since 114 + 7 + 265 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11472652801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33062227 + ... + 33062573.

Almost surely, 2^11472652800 is an apocalyptic number.

11472652800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11472652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24102894816).

11472652800 is an abundant number, since it is smaller than the sum of its proper divisors (36733136832).

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

11472652800 is a wasteful number, since it uses less digits than its factorization.

11472652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11472652800 in words is "eleven billion, four hundred seventy-two million, six hundred fifty-two thousand, eight hundred".