125625020881536 has 1536 divisors, whose sum is σ = 431257352601600. Its totient is φ = 35695199232000.

The previous prime is 125625020881523. The next prime is 125625020881541. The reversal of 125625020881536 is 635188020526521.

125625020881536 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 2 + 5 + 0 + 20 + 8 + 81 + 536 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257956921485 + ... + 257956921971.

It is an arithmetic number, because the mean of its divisors is an integer number (280766505600).

Almost surely, 2^{125625020881536} is an apocalyptic number.

125625020881536 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 125625020881536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215628676300800).

125625020881536 is an abundant number, since it is smaller than the sum of its proper divisors (305632331720064).

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

125625020881536 is a wasteful number, since it uses less digits than its factorization.

125625020881536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 125625020881536 in words is "one hundred twenty-five trillion, six hundred twenty-five billion, twenty million, eight hundred eighty-one thousand, five hundred thirty-six".