25716400160 has 96 divisors (see below), whose sum is σ = 66649262400. Its totient is φ = 9299061760.

The previous prime is 25716400121. The next prime is 25716400163. The reversal of 25716400160 is 6100461752.

It is a super-2 number, since 2×25716400160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (25716400163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274226 + ... + 355854.

It is an arithmetic number, because the mean of its divisors is an integer number (694263150).

Almost surely, 2^25716400160 is an apocalyptic number.

25716400160 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 25716400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33324631200).

25716400160 is an abundant number, since it is smaller than the sum of its proper divisors (40932862240).

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

25716400160 is a wasteful number, since it uses less digits than its factorization.

25716400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81834 (or 81826 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 25716400160 in words is "twenty-five billion, seven hundred sixteen million, four hundred thousand, one hundred sixty".