125768077648000 has 256 divisors, whose sum is σ = 315268605849600. Its totient is φ = 49892806656000.

The previous prime is 125768077647941. The next prime is 125768077648069. The reversal of 125768077648000 is 846770867521.

It is a self number, because there is not a number n which added to its sum of digits gives 125768077648000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6439398235 + ... + 6439417765.

It is an arithmetic number, because the mean of its divisors is an integer number (1231517991600).

Almost surely, 2^{125768077648000} is an apocalyptic number.

125768077648000 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 125768077648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157634302924800).

125768077648000 is an abundant number, since it is smaller than the sum of its proper divisors (189500528201600).

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

125768077648000 is a wasteful number, since it uses less digits than its factorization.

125768077648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22856 (or 22834 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 61.

The spelling of 125768077648000 in words is "one hundred twenty-five trillion, seven hundred sixty-eight billion, seventy-seven million, six hundred forty-eight thousand".