125515469664000 has 864 divisors, whose sum is σ = 491849186774400. Its totient is φ = 30548887142400.

The previous prime is 125515469663971. The next prime is 125515469664029. The reversal of 125515469664000 is 466964515521.

It is a happy number.

125515469664000 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 546 + 96 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125515469663971) and next prime (125515469664029).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333027661 + ... + 333404339.

It is an arithmetic number, because the mean of its divisors is an integer number (569269892100).

Almost surely, 2^{125515469664000} is an apocalyptic number.

125515469664000 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 125515469664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245924593387200).

125515469664000 is an abundant number, since it is smaller than the sum of its proper divisors (366333717110400).

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

125515469664000 is a wasteful number, since it uses less digits than its factorization.

125515469664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376818 (or 376791 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 125515469664000 in words is "one hundred twenty-five trillion, five hundred fifteen billion, four hundred sixty-nine million, six hundred sixty-four thousand".