11958325560576 has 1440 divisors, whose sum is σ = 39919684387968. Its totient is φ = 3544960204800.

The previous prime is 11958325560569. The next prime is 11958325560607. The reversal of 11958325560576 is 67506552385911.

11958325560576 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 8 + 3 + 2 + 5 + 56 + 0 + 576 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111760051915 + ... + 111760052021.

Almost surely, 2^{11958325560576} is an apocalyptic number.

11958325560576 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 11958325560576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959842193984).

11958325560576 is an abundant number, since it is smaller than the sum of its proper divisors (27961358827392).

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

11958325560576 is a wasteful number, since it uses less digits than its factorization.

11958325560576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 11958325560576 in words is "eleven trillion, nine hundred fifty-eight billion, three hundred twenty-five million, five hundred sixty thousand, five hundred seventy-six".