125061995520 has 1408 divisors, whose sum is σ = 573500620800. Its totient is φ = 25082265600.

The previous prime is 125061995437. The next prime is 125061995549. The reversal of 125061995520 is 25599160521.

125061995520 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 1 + 99 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329978691 + ... + 329979069.

Almost surely, 2^125061995520 is an apocalyptic number.

125061995520 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 125061995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286750310400).

125061995520 is an abundant number, since it is smaller than the sum of its proper divisors (448438625280).

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

125061995520 is a wasteful number, since it uses less digits than its factorization.

125061995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 125061995520 in words is "one hundred twenty-five billion, sixty-one million, nine hundred ninety-five thousand, five hundred twenty".