125045979840 has 336 divisors, whose sum is σ = 454153645920. Its totient is φ = 31492177920.

The previous prime is 125045979811. The next prime is 125045979901. The reversal of 125045979840 is 48979540521.

It is a happy number.

125045979840 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 4 + 597 + 9 + 8 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18437250 + ... + 18444030.

Almost surely, 2^125045979840 is an apocalyptic number.

125045979840 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 125045979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227076822960).

125045979840 is an abundant number, since it is smaller than the sum of its proper divisors (329107666080).

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

125045979840 is a wasteful number, since it uses less digits than its factorization.

125045979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 125045979840 in words is "one hundred twenty-five billion, forty-five million, nine hundred seventy-nine thousand, eight hundred forty".