125577319680 has 720 divisors, whose sum is σ = 470113459200. Its totient is φ = 31969935360.

The previous prime is 125577319661. The next prime is 125577319697. The reversal of 125577319680 is 86913775521.

125577319680 is a `hidden beast` number, since 1 + 2 + 5 + 577 + 3 + 1 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286052901 + ... + 286053339.

It is an arithmetic number, because the mean of its divisors is an integer number (652935360).

Almost surely, 2^125577319680 is an apocalyptic number.

125577319680 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 125577319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235056729600).

125577319680 is an abundant number, since it is smaller than the sum of its proper divisors (344536139520).

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

125577319680 is an equidigital number, since it uses as much as digits as its factorization.

125577319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 125577319680 in words is "one hundred twenty-five billion, five hundred seventy-seven million, three hundred nineteen thousand, six hundred eighty".