125950561044 has 384 divisors, whose sum is σ = 406221225984. Its totient is φ = 29369088000.

The previous prime is 125950560961. The next prime is 125950561063. The reversal of 125950561044 is 440165059521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 125950560987 and 125950561005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34571487 + ... + 34575129.

It is an arithmetic number, because the mean of its divisors is an integer number (1057867776).

Almost surely, 2^125950561044 is an apocalyptic number.

125950561044 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 125950561044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203110612992).

125950561044 is an abundant number, since it is smaller than the sum of its proper divisors (280270664940).

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

125950561044 is a wasteful number, since it uses less digits than its factorization.

125950561044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 125950561044 in words is "one hundred twenty-five billion, nine hundred fifty million, five hundred sixty-one thousand, forty-four".