25228869120 has 1200 divisors, whose sum is σ = 113793216768. Its totient is φ = 5295144960.

The previous prime is 25228869079. The next prime is 25228869179. The reversal of 25228869120 is 2196882252.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132088225 + ... + 132088415.

Almost surely, 2^25228869120 is an apocalyptic number.

25228869120 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 25228869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56896608384).

25228869120 is an abundant number, since it is smaller than the sum of its proper divisors (88564347648).

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

25228869120 is a wasteful number, since it uses less digits than its factorization.

25228869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25228869120 in words is "twenty-five billion, two hundred twenty-eight million, eight hundred sixty-nine thousand, one hundred twenty".