11588812952416 has 72 divisors (see below), whose sum is σ = 26541931262616. Its totient is φ = 4966357132800.

The previous prime is 11588812952411. The next prime is 11588812952443. The reversal of 11588812952416 is 61425921888511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11588812952411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29261316 + ... + 29654716.

It is an arithmetic number, because the mean of its divisors is an integer number (368637934203).

Almost surely, 2^{11588812952416} is an apocalyptic number.

11588812952416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11588812952416 is an abundant number, since it is smaller than the sum of its proper divisors (14953118310200).

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

11588812952416 is a wasteful number, since it uses less digits than its factorization.

11588812952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412212 (or 412197 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 61.

The spelling of 11588812952416 in words is "eleven trillion, five hundred eighty-eight billion, eight hundred twelve million, nine hundred fifty-two thousand, four hundred sixteen".