11539872000 has 432 divisors, whose sum is σ = 43985056752. Its totient is φ = 2895052800.

The previous prime is 11539871999. The next prime is 11539872011. The reversal of 11539872000 is 27893511.

It can be written as a sum of positive squares in 8 ways, for example, as 4008409344 + 7531462656 = 63312^2 + 86784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4894822 + ... + 4897178.

It is an arithmetic number, because the mean of its divisors is an integer number (101817261).

Almost surely, 2^11539872000 is an apocalyptic number.

11539872000 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 11539872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992528376).

11539872000 is an abundant number, since it is smaller than the sum of its proper divisors (32445184752).

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

11539872000 is a wasteful number, since it uses less digits than its factorization.

11539872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11539872000 in words is "eleven billion, five hundred thirty-nine million, eight hundred seventy-two thousand".