25713605160 has 192 divisors, whose sum is σ = 91001664000. Its totient is φ = 6272017920.

The previous prime is 25713605149. The next prime is 25713605207. The reversal of 25713605160 is 6150631752.

25713605160 is a `hidden beast` number, since 2 + 5 + 7 + 136 + 0 + 516 + 0 = 666.

It is a super-2 number, since 2×25713605160² (a number of 22 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 133545 + ... + 263175.

It is an arithmetic number, because the mean of its divisors is an integer number (473967000).

Almost surely, 2^25713605160 is an apocalyptic number.

25713605160 is a gapful number since it is divisible by the number (20) 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 25713605160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45500832000).

25713605160 is an abundant number, since it is smaller than the sum of its proper divisors (65288058840).

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

25713605160 is a wasteful number, since it uses less digits than its factorization.

25713605160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129696 (or 129689 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 25713605160 in words is "twenty-five billion, seven hundred thirteen million, six hundred five thousand, one hundred sixty".