125550601344 has 320 divisors, whose sum is σ = 429673400640. Its totient is φ = 35648169984.

The previous prime is 125550601321. The next prime is 125550601357. The reversal of 125550601344 is 443106055521.

125550601344 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 0 + 601 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125550601299 and 125550601308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11824582 + ... + 11835194.

It is an arithmetic number, because the mean of its divisors is an integer number (1342729377).

Almost surely, 2^125550601344 is an apocalyptic number.

125550601344 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 125550601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214836700320).

125550601344 is an abundant number, since it is smaller than the sum of its proper divisors (304122799296).

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

125550601344 is a wasteful number, since it uses less digits than its factorization.

125550601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10809 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 125550601344 its reverse (443106055521), we get a palindrome (568656656865).

The spelling of 125550601344 in words is "one hundred twenty-five billion, five hundred fifty million, six hundred one thousand, three hundred forty-four".