125769600504000 has 1792 divisors, whose sum is σ = 497217421209600. Its totient is φ = 31059044352000.

The previous prime is 125769600503999. The next prime is 125769600504089. The reversal of 125769600504000 is 405006967521.

125769600504000 is a `hidden beast` number, since 1 + 2 + 57 + 6 + 96 + 0 + 0 + 504 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16455524179 + ... + 16455531821.

It is an arithmetic number, because the mean of its divisors is an integer number (277465078800).

Almost surely, 2^{125769600504000} is an apocalyptic number.

125769600504000 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 125769600504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248608710604800).

125769600504000 is an abundant number, since it is smaller than the sum of its proper divisors (371447820705600).

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

125769600504000 is a wasteful number, since it uses less digits than its factorization.

125769600504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 125769600504000 in words is "one hundred twenty-five trillion, seven hundred sixty-nine billion, six hundred million, five hundred four thousand".