25305799680 has 880 divisors, whose sum is σ = 108427461120. Its totient is φ = 5518098432.

The previous prime is 25305799639. The next prime is 25305799733. The reversal of 25305799680 is 8699750352.

25305799680 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 579 + 9 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66769731 + ... + 66770109.

It is an arithmetic number, because the mean of its divisors is an integer number (123213024).

Almost surely, 2^25305799680 is an apocalyptic number.

25305799680 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 25305799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54213730560).

25305799680 is an abundant number, since it is smaller than the sum of its proper divisors (83121661440).

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

25305799680 is a wasteful number, since it uses less digits than its factorization.

25305799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 25305799680 in words is "twenty-five billion, three hundred five million, seven hundred ninety-nine thousand, six hundred eighty".