125676956160 has 1920 divisors, whose sum is σ = 571963392000. Its totient is φ = 26336378880.

The previous prime is 125676956149. The next prime is 125676956203. The reversal of 125676956160 is 61659676521.

125676956160 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 76 + 9 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125676956097 and 125676956106.

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, 4054095345 + ... + 4054095375.

It is an arithmetic number, because the mean of its divisors is an integer number (297897600).

Almost surely, 2^125676956160 is an apocalyptic number.

125676956160 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 125676956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981696000).

125676956160 is an abundant number, since it is smaller than the sum of its proper divisors (446286435840).

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

125676956160 is an frugal number, since it uses more digits than its factorization.

125676956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 125676956160 in words is "one hundred twenty-five billion, six hundred seventy-six million, nine hundred fifty-six thousand, one hundred sixty".