125325820039680 has 480 divisors, whose sum is σ = 467474170363200. Its totient is φ = 30846263132160.

The previous prime is 125325820039657. The next prime is 125325820039729. The reversal of 125325820039680 is 86930028523521.

It is a happy number.

125325820039680 is a `hidden beast` number, since 1 + 2 + 5 + 325 + 8 + 200 + 39 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×125325820039680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4460138271 + ... + 4460166369.

It is an arithmetic number, because the mean of its divisors is an integer number (973904521590).

Almost surely, 2^{125325820039680} is an apocalyptic number.

125325820039680 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 125325820039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233737085181600).

125325820039680 is an abundant number, since it is smaller than the sum of its proper divisors (342148350323520).

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

125325820039680 is a wasteful number, since it uses less digits than its factorization.

125325820039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43032 (or 43013 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 125325820039680 in words is "one hundred twenty-five trillion, three hundred twenty-five billion, eight hundred twenty million, thirty-nine thousand, six hundred eighty".