125061058080 has 1056 divisors, whose sum is σ = 531403987968. Its totient is φ = 27209779200.

The previous prime is 125061058079. The next prime is 125061058117. The reversal of 125061058080 is 80850160521.

125061058080 is a `hidden beast` number, since 12 + 5 + 0 + 61 + 0 + 580 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2050181250 + ... + 2050181310.

Almost surely, 2^125061058080 is an apocalyptic number.

125061058080 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 125061058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265701993984).

125061058080 is an abundant number, since it is smaller than the sum of its proper divisors (406342929888).

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

125061058080 is an frugal number, since it uses more digits than its factorization.

125061058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 125061058080 in words is "one hundred twenty-five billion, sixty-one million, fifty-eight thousand, eighty".