125393805551232 has 1280 divisors, whose sum is σ = 420943321497600. Its totient is φ = 36848021962752.

The previous prime is 125393805551213. The next prime is 125393805551251. The reversal of 125393805551232 is 232155508393521.

125393805551232 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 9 + 3 + 80 + 5 + 551 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125393805551213) and next prime (125393805551251).

It is a super-2 number, since 2×125393805551232² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40672656763 + ... + 40672659845.

It is an arithmetic number, because the mean of its divisors is an integer number (328861969920).

Almost surely, 2^{125393805551232} is an apocalyptic number.

125393805551232 is a gapful number since it is divisible by the number (12) 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 125393805551232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210471660748800).

125393805551232 is an abundant number, since it is smaller than the sum of its proper divisors (295549515946368).

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

125393805551232 is a wasteful number, since it uses less digits than its factorization.

125393805551232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 125393805551232 in words is "one hundred twenty-five trillion, three hundred ninety-three billion, eight hundred five million, five hundred fifty-one thousand, two hundred thirty-two".