25300220400 has 600 divisors, whose sum is σ = 111767436704. Its totient is φ = 5337446400.

The previous prime is 25300220399. The next prime is 25300220453. The reversal of 25300220400 is 402200352.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2944110 + ... + 2952690.

Almost surely, 2^25300220400 is an apocalyptic number.

25300220400 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 25300220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883718352).

25300220400 is an abundant number, since it is smaller than the sum of its proper divisors (86467216304).

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

25300220400 is a wasteful number, since it uses less digits than its factorization.

25300220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8631 (or 8611 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 25300220400 its reverse (402200352), we get a palindrome (25702420752).

The spelling of 25300220400 in words is "twenty-five billion, three hundred million, two hundred twenty thousand, four hundred".