125092891296 has 384 divisors, whose sum is σ = 397887033600. Its totient is φ = 38106132480.

The previous prime is 125092891279. The next prime is 125092891309. The reversal of 125092891296 is 692198290521.

125092891296 is a `hidden beast` number, since 1 + 2 + 509 + 2 + 8 + 9 + 129 + 6 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 53071750 + ... + 53074106.

It is an arithmetic number, because the mean of its divisors is an integer number (1036164150).

Almost surely, 2^125092891296 is an apocalyptic number.

125092891296 is a gapful number since it is divisible by the number (16) 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 125092891296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198943516800).

125092891296 is an abundant number, since it is smaller than the sum of its proper divisors (272794142304).

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

125092891296 is a wasteful number, since it uses less digits than its factorization.

125092891296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 125092891296 in words is "one hundred twenty-five billion, ninety-two million, eight hundred ninety-one thousand, two hundred ninety-six".