11582325216 has 1152 divisors, whose sum is σ = 48263040000. Its totient is φ = 2682408960.

The previous prime is 11582325173. The next prime is 11582325253. The reversal of 11582325216 is 61252328511.

11582325216 is a `hidden beast` number, since 11 + 582 + 3 + 2 + 52 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609596055 + ... + 609596073.

It is an arithmetic number, because the mean of its divisors is an integer number (41895000).

Almost surely, 2^11582325216 is an apocalyptic number.

11582325216 is a gapful number since it is divisible by the number (16) 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 11582325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520000).

11582325216 is an abundant number, since it is smaller than the sum of its proper divisors (36680714784).

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

11582325216 is a wasteful number, since it uses less digits than its factorization.

11582325216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 11582325216 in words is "eleven billion, five hundred eighty-two million, three hundred twenty-five thousand, two hundred sixteen".