125117849088 has 240 divisors, whose sum is σ = 392373696000. Its totient is φ = 38235525120.

The previous prime is 125117849083. The next prime is 125117849089. The reversal of 125117849088 is 880948711521.

125117849088 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 1 + 78 + 490 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125117849083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2691063 + ... + 2737161.

It is an arithmetic number, because the mean of its divisors is an integer number (1634890400).

Almost surely, 2^125117849088 is an apocalyptic number.

125117849088 is a gapful number since it is divisible by the number (18) 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 125117849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196186848000).

125117849088 is an abundant number, since it is smaller than the sum of its proper divisors (267255846912).

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

125117849088 is a wasteful number, since it uses less digits than its factorization.

125117849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46173 (or 46154 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 125117849088 in words is "one hundred twenty-five billion, one hundred seventeen million, eight hundred forty-nine thousand, eighty-eight".