125975412864 has 256 divisors, whose sum is σ = 426759840000. Its totient is φ = 35836895232.

The previous prime is 125975412811. The next prime is 125975412869. The reversal of 125975412864 is 468214579521.

125975412864 is a `hidden beast` number, since 1 + 2 + 5 + 97 + 541 + 2 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125975412864.

It is not an unprimeable number, because it can be changed into a prime (125975412869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5625562 + ... + 5647910.

It is an arithmetic number, because the mean of its divisors is an integer number (1667030625).

Almost surely, 2^125975412864 is an apocalyptic number.

125975412864 is a gapful number since it is divisible by the number (14) 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 125975412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213379920000).

125975412864 is an abundant number, since it is smaller than the sum of its proper divisors (300784427136).

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

125975412864 is a wasteful number, since it uses less digits than its factorization.

125975412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22612 (or 22594 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 125975412864 in words is "one hundred twenty-five billion, nine hundred seventy-five million, four hundred twelve thousand, eight hundred sixty-four".