125753103064400 has 240 divisors, whose sum is σ = 347392285470720. Its totient is φ = 42851913561600.

The previous prime is 125753103064331. The next prime is 125753103064483. The reversal of 125753103064400 is 4460301357521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6845187215 + ... + 6845205585.

It is an arithmetic number, because the mean of its divisors is an integer number (1447467856128).

Almost surely, 2^{125753103064400} is an apocalyptic number.

125753103064400 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 125753103064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173696142735360).

125753103064400 is an abundant number, since it is smaller than the sum of its proper divisors (221639182406320).

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

125753103064400 is a wasteful number, since it uses less digits than its factorization.

125753103064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33202 (or 33191 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 125753103064400 in words is "one hundred twenty-five trillion, seven hundred fifty-three billion, one hundred three million, sixty-four thousand, four hundred".