25510682880 has 432 divisors, whose sum is σ = 96137496000. Its totient is φ = 6221021184.

The previous prime is 25510682837. The next prime is 25510682893. The reversal of 25510682880 is 8828601552.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 6345511 + ... + 6349529.

It is an arithmetic number, because the mean of its divisors is an integer number (222540500).

Almost surely, 2^25510682880 is an apocalyptic number.

25510682880 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 25510682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48068748000).

25510682880 is an abundant number, since it is smaller than the sum of its proper divisors (70626813120).

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

25510682880 is a wasteful number, since it uses less digits than its factorization.

25510682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 25510682880 in words is "twenty-five billion, five hundred ten million, six hundred eighty-two thousand, eight hundred eighty".