11572902000 has 320 divisors, whose sum is σ = 45227819520. Its totient is φ = 2805408000.

The previous prime is 11572901971. The next prime is 11572902001. The reversal of 11572902000 is 20927511.

11572902000 is a `hidden beast` number, since 1 + 1 + 572 + 90 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11572902001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584259 + ... + 603741.

It is an arithmetic number, because the mean of its divisors is an integer number (141336936).

Almost surely, 2^11572902000 is an apocalyptic number.

11572902000 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 11572902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613909760).

11572902000 is an abundant number, since it is smaller than the sum of its proper divisors (33654917520).

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

11572902000 is a wasteful number, since it uses less digits than its factorization.

11572902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19526 (or 19504 counting only the distinct ones).

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

The spelling of 11572902000 in words is "eleven billion, five hundred seventy-two million, nine hundred two thousand".