125890705336320 has 672 divisors, whose sum is σ = 467498888962560. Its totient is φ = 32487864238080.

The previous prime is 125890705336283. The next prime is 125890705336327. The reversal of 125890705336320 is 23633507098521.

125890705336320 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 9 + 0 + 70 + 533 + 6 + 32 + 0 = 666.

It is a super-2 number, since 2×125890705336320² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (125890705336327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 231141757 + ... + 231685763.

It is an arithmetic number, because the mean of its divisors is an integer number (695682870480).

Almost surely, 2^{125890705336320} is an apocalyptic number.

125890705336320 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 125890705336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233749444481280).

125890705336320 is an abundant number, since it is smaller than the sum of its proper divisors (341608183626240).

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

125890705336320 is an frugal number, since it uses more digits than its factorization.

125890705336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544083 (or 544048 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 125890705336320 in words is "one hundred twenty-five trillion, eight hundred ninety billion, seven hundred five million, three hundred thirty-six thousand, three hundred twenty".