125642119680 has 1920 divisors, whose sum is σ = 585118550016. Its totient is φ = 25082265600.

The previous prime is 125642119667. The next prime is 125642119703. The reversal of 125642119680 is 86911246521.

125642119680 is a `hidden beast` number, since 1 + 2 + 564 + 2 + 1 + 1 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2059706850 + ... + 2059706910.

Almost surely, 2^125642119680 is an apocalyptic number.

125642119680 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 125642119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292559275008).

125642119680 is an abundant number, since it is smaller than the sum of its proper divisors (459476430336).

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

125642119680 is an equidigital number, since it uses as much as digits as its factorization.

125642119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 125642119680 in words is "one hundred twenty-five billion, six hundred forty-two million, one hundred nineteen thousand, six hundred eighty".