125023750646400 has 1920 divisors, whose sum is σ = 489730070269440. Its totient is φ = 31358405836800.

The previous prime is 125023750646359. The next prime is 125023750646413. The reversal of 125023750646400 is 4646057320521.

125023750646400 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 237 + 5 + 0 + 6 + 4 + 6 + 400 = 666.

125023750646400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80504668024 + ... + 80504669576.

It is an arithmetic number, because the mean of its divisors is an integer number (255067744932).

Almost surely, 2^{125023750646400} is an apocalyptic number.

125023750646400 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 125023750646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244865035134720).

125023750646400 is an abundant number, since it is smaller than the sum of its proper divisors (364706319623040).

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

125023750646400 is a wasteful number, since it uses less digits than its factorization.

125023750646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 125023750646400 in words is "one hundred twenty-five trillion, twenty-three billion, seven hundred fifty million, six hundred forty-six thousand, four hundred".