11572920000 has 840 divisors, whose sum is σ = 46048159872. Its totient is φ = 2764800000.

The previous prime is 11572919999. The next prime is 11572920043. The reversal of 11572920000 is 2927511.

11572920000 is a `hidden beast` number, since 1 + 1 + 572 + 92 + 0 + 0 + 0 + 0 = 666.

11572920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 189719970 + ... + 189720030.

Almost surely, 2^11572920000 is an apocalyptic number.

11572920000 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 11572920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024079936).

11572920000 is an abundant number, since it is smaller than the sum of its proper divisors (34475239872).

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

11572920000 is a wasteful number, since it uses less digits than its factorization.

11572920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11572920000 in words is "eleven billion, five hundred seventy-two million, nine hundred twenty thousand".