125880471850560 has 672 divisors, whose sum is σ = 478404745073280. Its totient is φ = 27941309448192.

The previous prime is 125880471850517. The next prime is 125880471850571. The reversal of 125880471850560 is 65058174088521.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 125880471850494 and 125880471850503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 910201896 + ... + 910340184.

Almost surely, 2^{125880471850560} is an apocalyptic number.

125880471850560 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 125880471850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239202372536640).

125880471850560 is an abundant number, since it is smaller than the sum of its proper divisors (352524273222720).

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

125880471850560 is a wasteful number, since it uses less digits than its factorization.

125880471850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138883 (or 138866 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 60.

The spelling of 125880471850560 in words is "one hundred twenty-five trillion, eight hundred eighty billion, four hundred seventy-one million, eight hundred fifty thousand, five hundred sixty".