25161713280 has 384 divisors, whose sum is σ = 95500641600. Its totient is φ = 6053806080.

The previous prime is 25161713279. The next prime is 25161713309. The reversal of 25161713280 is 8231716152.

25161713280 is a `hidden beast` number, since 2 + 5 + 1 + 617 + 1 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25161713280² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8805612 + ... + 8808468.

Almost surely, 2^25161713280 is an apocalyptic number.

25161713280 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 25161713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47750320800).

25161713280 is an abundant number, since it is smaller than the sum of its proper divisors (70338928320).

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

25161713280 is a wasteful number, since it uses less digits than its factorization.

25161713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 25161713280 in words is "twenty-five billion, one hundred sixty-one million, seven hundred thirteen thousand, two hundred eighty".