25801180416 has 324 divisors, whose sum is σ = 86090091360. Its totient is φ = 7405516800.

The previous prime is 25801180411. The next prime is 25801180441. The reversal of 25801180416 is 61408110852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25801180411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5294461 + ... + 5299331.

Almost surely, 2^25801180416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25801180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43045045680).

25801180416 is an abundant number, since it is smaller than the sum of its proper divisors (60288910944).

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

25801180416 is a wasteful number, since it uses less digits than its factorization.

25801180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 25801180416 in words is "twenty-five billion, eight hundred one million, one hundred eighty thousand, four hundred sixteen".