125950617216 has 576 divisors, whose sum is σ = 401249721600. Its totient is φ = 37865963520.

The previous prime is 125950617179. The next prime is 125950617251. The reversal of 125950617216 is 612716059521.

It is a happy number.

125950617216 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 5 + 0 + 617 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 1114607176 + ... + 1114607288.

It is an arithmetic number, because the mean of its divisors is an integer number (696614100).

Almost surely, 2^125950617216 is an apocalyptic number.

125950617216 is a gapful number since it is divisible by the number (16) 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 125950617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200624860800).

125950617216 is an abundant number, since it is smaller than the sum of its proper divisors (275299104384).

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

125950617216 is a wasteful number, since it uses less digits than its factorization.

125950617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 125950617216 in words is "one hundred twenty-five billion, nine hundred fifty million, six hundred seventeen thousand, two hundred sixteen".