125242381025280 has 1320 divisors, whose sum is σ = 477690669246672. Its totient is φ = 31412742782976.

The previous prime is 125242381025273. The next prime is 125242381025317. The reversal of 125242381025280 is 82520183242521.

125242381025280 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 42 + 3 + 81 + 0 + 2 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 82233998599 + ... + 82234000121.

Almost surely, 2^{125242381025280} is an apocalyptic number.

125242381025280 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 125242381025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238845334623336).

125242381025280 is an abundant number, since it is smaller than the sum of its proper divisors (352448288221392).

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

125242381025280 is an frugal number, since it uses more digits than its factorization.

125242381025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 125242381025280 in words is "one hundred twenty-five trillion, two hundred forty-two billion, three hundred eighty-one million, twenty-five thousand, two hundred eighty".