125082979560 has 384 divisors, whose sum is σ = 507413237760. Its totient is φ = 25961356800.

The previous prime is 125082979537. The next prime is 125082979579. The reversal of 125082979560 is 65979280521.

125082979560 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 2 + 9 + 79 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125082979497 and 125082979506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30573115 + ... + 30577205.

It is an arithmetic number, because the mean of its divisors is an integer number (1321388640).

Almost surely, 2^125082979560 is an apocalyptic number.

125082979560 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 125082979560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253706618880).

125082979560 is an abundant number, since it is smaller than the sum of its proper divisors (382330258200).

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

125082979560 is a wasteful number, since it uses less digits than its factorization.

125082979560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 125082979560 in words is "one hundred twenty-five billion, eighty-two million, nine hundred seventy-nine thousand, five hundred sixty".