11957088000 has 864 divisors, whose sum is σ = 47615323392. Its totient is φ = 2635776000.

The previous prime is 11957087957. The next prime is 11957088001. The reversal of 11957088000 is 88075911.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11957088000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11957088001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178463967 + ... + 178464033.

It is an arithmetic number, because the mean of its divisors is an integer number (55110328).

Almost surely, 2^11957088000 is an apocalyptic number.

11957088000 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 11957088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23807661696).

11957088000 is an abundant number, since it is smaller than the sum of its proper divisors (35658235392).

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

11957088000 is a wasteful number, since it uses less digits than its factorization.

11957088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 11957088000 in words is "eleven billion, nine hundred fifty-seven million, eighty-eight thousand".