25436980800 has 840 divisors, whose sum is σ = 116617089600. Its totient is φ = 5283532800.

The previous prime is 25436980781. The next prime is 25436980817. The reversal of 25436980800 is 808963452.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9977926 + ... + 9980474.

Almost surely, 2^25436980800 is an apocalyptic number.

25436980800 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 25436980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58308544800).

25436980800 is an abundant number, since it is smaller than the sum of its proper divisors (91180108800).

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

25436980800 is a wasteful number, since it uses less digits than its factorization.

25436980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 25436980800 in words is "twenty-five billion, four hundred thirty-six million, nine hundred eighty thousand, eight hundred".