11552862138912 has 72 divisors (see below), whose sum is σ = 32853867571980. Its totient is φ = 3850905300480.

The previous prime is 11552862138871. The next prime is 11552862138973. The reversal of 11552862138912 is 21983126825511.

It is a happy number.

11552862138912 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 8 + 621 + 3 + 8 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10580421595536 + 972440543376 = 3252756^2 + 986124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27979014 + ... + 28388922.

Almost surely, 2^{11552862138912} is an apocalyptic number.

11552862138912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11552862138912 is an abundant number, since it is smaller than the sum of its proper divisors (21301005433068).

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

11552862138912 is a wasteful number, since it uses less digits than its factorization.

11552862138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507786 (or 507775 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 11552862138912 in words is "eleven trillion, five hundred fifty-two billion, eight hundred sixty-two million, one hundred thirty-eight thousand, nine hundred twelve".