11537385984 has 400 divisors, whose sum is σ = 36496179720. Its totient is φ = 3622993920.

The previous prime is 11537385961. The next prime is 11537386061. The reversal of 11537385984 is 48958373511.

11537385984 is a `hidden beast` number, since 1 + 15 + 3 + 7 + 38 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7791945984 + 3745440000 = 88272^2 + 61200^2 .

It is a super-3 number, since 3×11537385984³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11537385984.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63742374 + ... + 63742554.

Almost surely, 2^11537385984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11537385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248089860).

11537385984 is an abundant number, since it is smaller than the sum of its proper divisors (24958793736).

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

11537385984 is an equidigital number, since it uses as much as digits as its factorization.

11537385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 11537385984 in words is "eleven billion, five hundred thirty-seven million, three hundred eighty-five thousand, nine hundred eighty-four".