125984456820 has 72 divisors (see below), whose sum is σ = 382336063200. Its totient is φ = 33579748800.

The previous prime is 125984456737. The next prime is 125984456833. The reversal of 125984456820 is 28654489521.

125984456820 is a `hidden beast` number, since 1 + 2 + 59 + 8 + 4 + 4 + 568 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211095 + ... + 544545.

It is an arithmetic number, because the mean of its divisors is an integer number (5310223100).

Almost surely, 2^125984456820 is an apocalyptic number.

125984456820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125984456820 is an abundant number, since it is smaller than the sum of its proper divisors (256351606380).

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

125984456820 is a wasteful number, since it uses less digits than its factorization.

125984456820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335565 (or 335560 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 125984456820 in words is "one hundred twenty-five billion, nine hundred eighty-four million, four hundred fifty-six thousand, eight hundred twenty".