25876529280 has 384 divisors, whose sum is σ = 103281609600. Its totient is φ = 5847367680.

The previous prime is 25876529269. The next prime is 25876529323. The reversal of 25876529280 is 8292567852.

It is a happy number.

25876529280 is a `hidden beast` number, since 2 + 587 + 6 + 52 + 9 + 2 + 8 + 0 = 666.

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

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, 3584875 + ... + 3592085.

It is an arithmetic number, because the mean of its divisors is an integer number (268962525).

Almost surely, 2^25876529280 is an apocalyptic number.

25876529280 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 25876529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51640804800).

25876529280 is an abundant number, since it is smaller than the sum of its proper divisors (77405080320).

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

25876529280 is a wasteful number, since it uses less digits than its factorization.

25876529280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 25876529280 in words is "twenty-five billion, eight hundred seventy-six million, five hundred twenty-nine thousand, two hundred eighty".