11985532992576 has 672 divisors, whose sum is σ = 42744210582528. Its totient is φ = 3158934958080.

The previous prime is 11985532992493. The next prime is 11985532992583. The reversal of 11985532992576 is 67529923558911.

11985532992576 is a `hidden beast` number, since 1 + 1 + 9 + 85 + 5 + 3 + 299 + 257 + 6 = 666.

It is a super-2 number, since 2×11985532992576² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126881875 + ... + 126976301.

It is an arithmetic number, because the mean of its divisors is an integer number (63607456224).

Almost surely, 2^{11985532992576} is an apocalyptic number.

11985532992576 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 11985532992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21372105291264).

11985532992576 is an abundant number, since it is smaller than the sum of its proper divisors (30758677589952).

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

11985532992576 is a wasteful number, since it uses less digits than its factorization.

11985532992576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94559 (or 94546 counting only the distinct ones).

The product of its digits is 367416000, while the sum is 72.

The spelling of 11985532992576 in words is "eleven trillion, nine hundred eighty-five billion, five hundred thirty-two million, nine hundred ninety-two thousand, five hundred seventy-six".