125161168896 has 560 divisors, whose sum is σ = 399640348800. Its totient is φ = 38947848192.

The previous prime is 125161168831. The next prime is 125161168903. The reversal of 125161168896 is 698861161521.

125161168896 is a `hidden beast` number, since 1 + 2 + 516 + 116 + 8 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 900439995 + ... + 900440133.

It is an arithmetic number, because the mean of its divisors is an integer number (713643480).

Almost surely, 2^125161168896 is an apocalyptic number.

125161168896 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 125161168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199820174400).

125161168896 is an abundant number, since it is smaller than the sum of its proper divisors (274479179904).

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

125161168896 is an equidigital number, since it uses as much as digits as its factorization.

125161168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 125161168896 in words is "one hundred twenty-five billion, one hundred sixty-one million, one hundred sixty-eight thousand, eight hundred ninety-six".