125937555891840 has 3072 divisors, whose sum is σ = 597178358784000. Its totient is φ = 24787101081600.

The previous prime is 125937555891787. The next prime is 125937555891877. The reversal of 125937555891840 is 48198555739521.

125937555891840 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 37 + 5 + 5 + 589 + 1 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22525047445 + ... + 22525053035.

It is an arithmetic number, because the mean of its divisors is an integer number (194393997000).

Almost surely, 2^{125937555891840} is an apocalyptic number.

125937555891840 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 125937555891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298589179392000).

125937555891840 is an abundant number, since it is smaller than the sum of its proper divisors (471240802892160).

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

125937555891840 is an equidigital number, since it uses as much as digits as its factorization.

125937555891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 72.

The spelling of 125937555891840 in words is "one hundred twenty-five trillion, nine hundred thirty-seven billion, five hundred fifty-five million, eight hundred ninety-one thousand, eight hundred forty".