125477217600 has 672 divisors, whose sum is σ = 519868440576. Its totient is φ = 25817088000.

The previous prime is 125477217493. The next prime is 125477217629. The reversal of 125477217600 is 6712774521.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13132825 + ... + 13142375.

Almost surely, 2^125477217600 is an apocalyptic number.

125477217600 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 125477217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259934220288).

125477217600 is an abundant number, since it is smaller than the sum of its proper divisors (394391222976).

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

125477217600 is a wasteful number, since it uses less digits than its factorization.

125477217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 125477217600 in words is "one hundred twenty-five billion, four hundred seventy-seven million, two hundred seventeen thousand, six hundred".