125899263360 has 1024 divisors, whose sum is σ = 503387136000. Its totient is φ = 29528064000.

The previous prime is 125899263313. The next prime is 125899263379. The reversal of 125899263360 is 63362998521.

125899263360 is a `hidden beast` number, since 1 + 2 + 589 + 9 + 26 + 3 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125899263297 and 125899263306.

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, 703347751 + ... + 703347929.

It is an arithmetic number, because the mean of its divisors is an integer number (491589000).

Almost surely, 2^125899263360 is an apocalyptic number.

125899263360 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 125899263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568000).

125899263360 is an abundant number, since it is smaller than the sum of its proper divisors (377487872640).

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

125899263360 is a wasteful number, since it uses less digits than its factorization.

125899263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 125899263360 in words is "one hundred twenty-five billion, eight hundred ninety-nine million, two hundred sixty-three thousand, three hundred sixty".