25706717280 has 1152 divisors, whose sum is σ = 106991539200. Its totient is φ = 5780865024.

The previous prime is 25706717279. The next prime is 25706717293. The reversal of 25706717280 is 8271760752.

25706717280 is a `hidden beast` number, since 2 + 570 + 6 + 7 + 1 + 72 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 288839476 + ... + 288839564.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 2^25706717280 is an apocalyptic number.

25706717280 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 25706717280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495769600).

25706717280 is an abundant number, since it is smaller than the sum of its proper divisors (81284821920).

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

25706717280 is a wasteful number, since it uses less digits than its factorization.

25706717280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 25706717280 in words is "twenty-five billion, seven hundred six million, seven hundred seventeen thousand, two hundred eighty".