125963828915760 has 960 divisors, whose sum is σ = 495321727380480. Its totient is φ = 29469328035840.

The previous prime is 125963828915747. The next prime is 125963828915783. The reversal of 125963828915760 is 67519828369521.

125963828915760 is a `hidden beast` number, since 1 + 2 + 5 + 96 + 382 + 8 + 9 + 157 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18002544582 + ... + 18002551578.

It is an arithmetic number, because the mean of its divisors is an integer number (515960132688).

Almost surely, 2^{125963828915760} is an apocalyptic number.

125963828915760 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 125963828915760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247660863690240).

125963828915760 is an abundant number, since it is smaller than the sum of its proper divisors (369357898464720).

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

125963828915760 is a wasteful number, since it uses less digits than its factorization.

125963828915760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 125963828915760 in words is "one hundred twenty-five trillion, nine hundred sixty-three billion, eight hundred twenty-eight million, nine hundred fifteen thousand, seven hundred sixty".