11632572000 has 960 divisors, whose sum is σ = 51144597504. Its totient is φ = 2531865600.

The previous prime is 11632571981. The next prime is 11632572011. The reversal of 11632572000 is 27523611.

It is a happy number.

11632572000 is a `hidden beast` number, since 1 + 1 + 632 + 5 + 7 + 20 + 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52163889 + ... + 52164111.

Almost surely, 2^11632572000 is an apocalyptic number.

11632572000 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 11632572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25572298752).

11632572000 is an abundant number, since it is smaller than the sum of its proper divisors (39512025504).

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

11632572000 is a wasteful number, since it uses less digits than its factorization.

11632572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11632572000 in words is "eleven billion, six hundred thirty-two million, five hundred seventy-two thousand".