126879137796096 has 1755 divisors, whose sum is σ = 469134754160241. Its totient is φ = 32942250786816.

The previous prime is 126879137796083. The next prime is 126879137796133. The reversal of 126879137796096 is 690697731978621.

The square root of 126879137796096 is 11264064.

It is a perfect power (a square), and thus also a powerful number.

126879137796096 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 79 + 1 + 377 + 96 + 0 + 96 = 666.

126879137796096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3637167722496 + 123241970073600 = 1907136^2 + 11101440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4375142682610 + ... + 4375142682638.

Almost surely, 2^{126879137796096} is an apocalyptic number.

126879137796096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126879137796096 is the 11264064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126879137796096

126879137796096 is an abundant number, since it is smaller than the sum of its proper divisors (342255616364145).

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

126879137796096 is an frugal number, since it uses more digits than its factorization.

126879137796096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2592487296, while the sum is 81.

The spelling of 126879137796096 in words is "one hundred twenty-six trillion, eight hundred seventy-nine billion, one hundred thirty-seven million, seven hundred ninety-six thousand, ninety-six".