12557164872096 has 240 divisors, whose sum is σ = 40315880299464. Its totient is φ = 3810814304256.

The previous prime is 12557164872079. The next prime is 12557164872113. The reversal of 12557164872096 is 69027846175521.

It is a happy number.

12557164872096 is a `hidden beast` number, since 1 + 2 + 5 + 57 + 16 + 487 + 2 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (12557164872079) and next prime (12557164872113).

It can be written as a sum of positive squares in 4 ways, for example, as 4448134083600 + 8109030788496 = 2109060^2 + 2847636^2 .

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 39 ways as a sum of consecutive naturals, for example, 92661 + ... + 5012276.

Almost surely, 2^{12557164872096} is an apocalyptic number.

12557164872096 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 12557164872096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157940149732).

12557164872096 is an abundant number, since it is smaller than the sum of its proper divisors (27758715427368).

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

12557164872096 is a wasteful number, since it uses less digits than its factorization.

12557164872096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105045 (or 5105028 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 12557164872096 in words is "twelve trillion, five hundred fifty-seven billion, one hundred sixty-four million, eight hundred seventy-two thousand, ninety-six".