125115601600 has 168 divisors, whose sum is σ = 336362350896. Its totient is φ = 45427200000.

The previous prime is 125115601591. The next prime is 125115601601. The reversal of 125115601600 is 6106511521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125115601601) 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, 12332530 + ... + 12342670.

Almost surely, 2^125115601600 is an apocalyptic number.

125115601600 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 125115601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168181175448).

125115601600 is an abundant number, since it is smaller than the sum of its proper divisors (211246749296).

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

125115601600 is a wasteful number, since it uses less digits than its factorization.

125115601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 125115601600 in words is "one hundred twenty-five billion, one hundred fifteen million, six hundred one thousand, six hundred".