25228735346880 has 1568 divisors, whose sum is σ = 101159877708288. Its totient is φ = 5948080128000.

The previous prime is 25228735346873. The next prime is 25228735346933. The reversal of 25228735346880 is 8864353782252.

25228735346880 is a `hidden beast` number, since 2 + 5 + 2 + 28 + 73 + 5 + 3 + 468 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9495194512 + ... + 9495197168.

Almost surely, 2^{25228735346880} is an apocalyptic number.

25228735346880 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 25228735346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50579938854144).

25228735346880 is an abundant number, since it is smaller than the sum of its proper divisors (75931142361408).

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

25228735346880 is a wasteful number, since it uses less digits than its factorization.

25228735346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 25228735346880 in words is "twenty-five trillion, two hundred twenty-eight billion, seven hundred thirty-five million, three hundred forty-six thousand, eight hundred eighty".