25828229280 has 480 divisors, whose sum is σ = 96526672704. Its totient is φ = 5803757568.

The previous prime is 25828229263. The next prime is 25828229281. The reversal of 25828229280 is 8292282852.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (25828229281) 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 79 ways as a sum of consecutive naturals, for example, 84130887 + ... + 84131193.

Almost surely, 2^25828229280 is an apocalyptic number.

25828229280 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 25828229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263336352).

25828229280 is an abundant number, since it is smaller than the sum of its proper divisors (70698443424).

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

25828229280 is an equidigital number, since it uses as much as digits as its factorization.

25828229280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 25828229280 in words is "twenty-five billion, eight hundred twenty-eight million, two hundred twenty-nine thousand, two hundred eighty".