125990393760 has 960 divisors, whose sum is σ = 557672822784. Its totient is φ = 26023680000.

The previous prime is 125990393743. The next prime is 125990393791. The reversal of 125990393760 is 67393099521.

It is a happy number.

125990393760 is a `hidden beast` number, since 12 + 599 + 0 + 3 + 9 + 37 + 6 + 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 = 125990393697 and 125990393706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 250477669 + ... + 250478171.

Almost surely, 2^125990393760 is an apocalyptic number.

125990393760 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 125990393760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278836411392).

125990393760 is an abundant number, since it is smaller than the sum of its proper divisors (431682429024).

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

125990393760 is a wasteful number, since it uses less digits than its factorization.

125990393760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 125990393760 in words is "one hundred twenty-five billion, nine hundred ninety million, three hundred ninety-three thousand, seven hundred sixty".