125056879744104 has 1152 divisors, whose sum is σ = 449986034534400. Its totient is φ = 30470267520000.

The previous prime is 125056879744079. The next prime is 125056879744133. The reversal of 125056879744104 is 401447978650521.

It is a happy number.

125056879744104 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 56 + 87 + 97 + 4 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 121296682069 + ... + 121296683099.

It is an arithmetic number, because the mean of its divisors is an integer number (390612877200).

Almost surely, 2^{125056879744104} is an apocalyptic number.

125056879744104 is a gapful number since it is divisible by the number (14) 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 125056879744104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224993017267200).

125056879744104 is an abundant number, since it is smaller than the sum of its proper divisors (324929154790296).

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

125056879744104 is a wasteful number, since it uses less digits than its factorization.

125056879744104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 125056879744104 in words is "one hundred twenty-five trillion, fifty-six billion, eight hundred seventy-nine million, seven hundred forty-four thousand, one hundred four".