11536625408 has 288 divisors, whose sum is σ = 30728678400. Its totient is φ = 4184801280.

The previous prime is 11536625383. The next prime is 11536625461. The reversal of 11536625408 is 80452663511.

11536625408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11536625408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57972893 + ... + 57973091.

It is an arithmetic number, because the mean of its divisors is an integer number (106696800).

Almost surely, 2^11536625408 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 11536625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364339200).

11536625408 is an abundant number, since it is smaller than the sum of its proper divisors (19192052992).

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

11536625408 is a wasteful number, since it uses less digits than its factorization.

11536625408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 11536625408 in words is "eleven billion, five hundred thirty-six million, six hundred twenty-five thousand, four hundred eight".