25430215680 has 440 divisors, whose sum is σ = 96514707168. Its totient is φ = 6380716032.

The previous prime is 25430215661. The next prime is 25430215691. The reversal of 25430215680 is 8651203452.

25430215680 is a `hidden beast` number, since 2 + 5 + 430 + 215 + 6 + 8 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 7048437 + ... + 7052043.

Almost surely, 2^25430215680 is an apocalyptic number.

25430215680 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 25430215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48257353584).

25430215680 is an abundant number, since it is smaller than the sum of its proper divisors (71084491488).

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

25430215680 is a wasteful number, since it uses less digits than its factorization.

25430215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25430215680 in words is "twenty-five billion, four hundred thirty million, two hundred fifteen thousand, six hundred eighty".