125701933916160 has 1344 divisors, whose sum is σ = 522678845025792. Its totient is φ = 28384397623296.

The previous prime is 125701933916159. The next prime is 125701933916213. The reversal of 125701933916160 is 61619339107521.

125701933916160 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 0 + 1 + 93 + 391 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 125701933916097 and 125701933916106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5782844812 + ... + 5782866548.

It is an arithmetic number, because the mean of its divisors is an integer number (388897950168).

Almost surely, 2^{125701933916160} is an apocalyptic number.

125701933916160 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 125701933916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261339422512896).

125701933916160 is an abundant number, since it is smaller than the sum of its proper divisors (396976911109632).

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

125701933916160 is an frugal number, since it uses more digits than its factorization.

125701933916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21873 (or 21837 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 125701933916160 in words is "one hundred twenty-five trillion, seven hundred one billion, nine hundred thirty-three million, nine hundred sixteen thousand, one hundred sixty".