25315334400 has 216 divisors, whose sum is σ = 84068820640. Its totient is φ = 6708510720.

The previous prime is 25315334381. The next prime is 25315334411. The reversal of 25315334400 is 443351352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3125556 + ... + 3133644.

Almost surely, 2^25315334400 is an apocalyptic number.

25315334400 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 25315334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42034410320).

25315334400 is an abundant number, since it is smaller than the sum of its proper divisors (58753486240).

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

25315334400 is a wasteful number, since it uses less digits than its factorization.

25315334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 25315334400 its reverse (443351352), we get a palindrome (25758685752).

The spelling of 25315334400 in words is "twenty-five billion, three hundred fifteen million, three hundred thirty-four thousand, four hundred".