125396034996960 has 2304 divisors, whose sum is σ = 562384108339200. Its totient is φ = 25859119104000.

The previous prime is 125396034996941. The next prime is 125396034997097. The reversal of 125396034996960 is 69699430693521.

It is a happy number.

125396034996960 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 9 + 603 + 4 + 9 + 9 + 6 + 9 + 6 + 0 = 666.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 21956928505 + ... + 21956934215.

It is an arithmetic number, because the mean of its divisors is an integer number (244090324800).

Almost surely, 2^{125396034996960} is an apocalyptic number.

125396034996960 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 125396034996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281192054169600).

125396034996960 is an abundant number, since it is smaller than the sum of its proper divisors (436988073342240).

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

125396034996960 is a wasteful number, since it uses less digits than its factorization.

125396034996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 125396034996960 in words is "one hundred twenty-five trillion, three hundred ninety-six billion, thirty-four million, nine hundred ninety-six thousand, nine hundred sixty".