125023464166400 has 132 divisors (see below), whose sum is σ = 310169281033500. Its totient is φ = 49967028633600.

The previous prime is 125023464166361. The next prime is 125023464166411. The reversal of 125023464166400 is 4661464320521.

It can be written as a sum of positive squares in 6 ways, for example, as 4836621389824 + 120186842776576 = 2199232^2 + 10962976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28165976 + ... + 32301224.

Almost surely, 2^{125023464166400} is an apocalyptic number.

125023464166400 is a gapful number since it is divisible by the number (10) 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 125023464166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155084640516750).

125023464166400 is an abundant number, since it is smaller than the sum of its proper divisors (185145816867100).

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

125023464166400 is a wasteful number, since it uses less digits than its factorization.

125023464166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136460 (or 4136437 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 125023464166400 in words is "one hundred twenty-five trillion, twenty-three billion, four hundred sixty-four million, one hundred sixty-six thousand, four hundred".