11537152000 has 384 divisors, whose sum is σ = 33392399040. Its totient is φ = 3932160000.

The previous prime is 11537151961. The next prime is 11537152009. The reversal of 11537152000 is 25173511.

It is a super-2 number, since 2×11537152000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11537152009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47871880 + ... + 47872120.

Almost surely, 2^11537152000 is an apocalyptic number.

11537152000 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 11537152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696199520).

11537152000 is an abundant number, since it is smaller than the sum of its proper divisors (21855247040).

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

11537152000 is a wasteful number, since it uses less digits than its factorization.

11537152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The spelling of 11537152000 in words is "eleven billion, five hundred thirty-seven million, one hundred fifty-two thousand".