125193751756800 has 432 divisors, whose sum is σ = 414224963655552. Its totient is φ = 33364639744000.

The previous prime is 125193751756679. The next prime is 125193751756889. The reversal of 125193751756800 is 8657157391521.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23111267692 + ... + 23111273108.

It is an arithmetic number, because the mean of its divisors is an integer number (958854082536).

Almost surely, 2^{125193751756800} is an apocalyptic number.

125193751756800 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 125193751756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207112481827776).

125193751756800 is an abundant number, since it is smaller than the sum of its proper divisors (289031211898752).

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

125193751756800 is an frugal number, since it uses more digits than its factorization.

125193751756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 60.

The spelling of 125193751756800 in words is "one hundred twenty-five trillion, one hundred ninety-three billion, seven hundred fifty-one million, seven hundred fifty-six thousand, eight hundred".