125325753638400 has 5400 divisors, whose sum is σ = 594241386103728. Its totient is φ = 25918341120000.

The previous prime is 125325753638339. The next prime is 125325753638443. The reversal of 125325753638400 is 4836357523521.

125325753638400 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 575 + 3 + 63 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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 539 ways as a sum of consecutive naturals, for example, 829971878325 + ... + 829971878475.

Almost surely, 2^{125325753638400} is an apocalyptic number.

125325753638400 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 125325753638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297120693051864).

125325753638400 is an abundant number, since it is smaller than the sum of its proper divisors (468915632465328).

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

125325753638400 is a wasteful number, since it uses less digits than its factorization.

125325753638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 125325753638400 in words is "one hundred twenty-five trillion, three hundred twenty-five billion, seven hundred fifty-three million, six hundred thirty-eight thousand, four hundred".