125171060797440 has 2912 divisors, whose sum is σ = 556933480704000. Its totient is φ = 26337047740416.

The previous prime is 125171060797427. The next prime is 125171060797511. The reversal of 125171060797440 is 44797060171521.

125171060797440 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 7 + 106 + 0 + 7 + 97 + 440 = 666.

It is a super-2 number, since 2×125171060797440² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 83503041811 + ... + 83503043309.

Almost surely, 2^{125171060797440} is an apocalyptic number.

125171060797440 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 125171060797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278466740352000).

125171060797440 is an abundant number, since it is smaller than the sum of its proper divisors (431762419906560).

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

125171060797440 is an equidigital number, since it uses as much as digits as its factorization.

125171060797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 125171060797440 in words is "one hundred twenty-five trillion, one hundred seventy-one billion, sixty million, seven hundred ninety-seven thousand, four hundred forty".