125898875424 has 288 divisors, whose sum is σ = 424884096000. Its totient is φ = 35923813632.

The previous prime is 125898875413. The next prime is 125898875441. The reversal of 125898875424 is 424578898521.

125898875424 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 9 + 8 + 87 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 81592797 + ... + 81594339.

It is an arithmetic number, because the mean of its divisors is an integer number (1475292000).

Almost surely, 2^125898875424 is an apocalyptic number.

125898875424 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 125898875424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212442048000).

125898875424 is an abundant number, since it is smaller than the sum of its proper divisors (298985220576).

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

125898875424 is a wasteful number, since it uses less digits than its factorization.

125898875424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3054 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 125898875424 in words is "one hundred twenty-five billion, eight hundred ninety-eight million, eight hundred seventy-five thousand, four hundred twenty-four".