11585013120 has 512 divisors, whose sum is σ = 43953840000. Its totient is φ = 2873622528.

The previous prime is 11585013113. The next prime is 11585013161. The reversal of 11585013120 is 2131058511.

11585013120 is a `hidden beast` number, since 1 + 158 + 501 + 3 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33194706 + ... + 33195054.

Almost surely, 2^11585013120 is an apocalyptic number.

11585013120 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 11585013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920000).

11585013120 is an abundant number, since it is smaller than the sum of its proper divisors (32368826880).

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

11585013120 is a wasteful number, since it uses less digits than its factorization.

11585013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11585013120 in words is "eleven billion, five hundred eighty-five million, thirteen thousand, one hundred twenty".