25220898806400 has 768 divisors, whose sum is σ = 100803108009600. Its totient is φ = 6107443200000.

The previous prime is 25220898806377. The next prime is 25220898806401. The reversal of 25220898806400 is 460889802252.

It is a happy number.

25220898806400 is a `hidden beast` number, since 2 + 5 + 220 + 8 + 9 + 8 + 8 + 0 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25220898806401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894312300 + ... + 894340500.

Almost surely, 2^{25220898806400} is an apocalyptic number.

25220898806400 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 25220898806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50401554004800).

25220898806400 is an abundant number, since it is smaller than the sum of its proper divisors (75582209203200).

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

25220898806400 is a wasteful number, since it uses less digits than its factorization.

25220898806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29186 (or 29163 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 25220898806400 in words is "twenty-five trillion, two hundred twenty billion, eight hundred ninety-eight million, eight hundred six thousand, four hundred".