125847872640 has 384 divisors, whose sum is σ = 515048526720. Its totient is φ = 28764979200.

The previous prime is 125847872611. The next prime is 125847872677. The reversal of 125847872640 is 46278748521.

125847872640 is a `hidden beast` number, since 12 + 58 + 478 + 72 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030840 + ... + 1146440.

It is an arithmetic number, because the mean of its divisors is an integer number (1341272205).

Almost surely, 2^125847872640 is an apocalyptic number.

125847872640 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 125847872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257524263360).

125847872640 is an abundant number, since it is smaller than the sum of its proper divisors (389200654080).

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

125847872640 is an equidigital number, since it uses as much as digits as its factorization.

125847872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115642 (or 115618 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 125847872640 in words is "one hundred twenty-five billion, eight hundred forty-seven million, eight hundred seventy-two thousand, six hundred forty".