25311206400 has 264 divisors, whose sum is σ = 84920695680. Its totient is φ = 6647562240.

The previous prime is 25311206387. The next prime is 25311206419. The reversal of 25311206400 is 460211352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 5143141 + ... + 5148059.

Almost surely, 2^25311206400 is an apocalyptic number.

25311206400 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 25311206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42460347840).

25311206400 is an abundant number, since it is smaller than the sum of its proper divisors (59609489280).

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

25311206400 is a wasteful number, since it uses less digits than its factorization.

25311206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 25311206400 its reverse (460211352), we get a palindrome (25771417752).

The spelling of 25311206400 in words is "twenty-five billion, three hundred eleven million, two hundred six thousand, four hundred".