25706314400 has 288 divisors, whose sum is σ = 69541642800. Its totient is φ = 9220423680.

The previous prime is 25706314393. The next prime is 25706314421. The reversal of 25706314400 is 441360752.

It can be written as a sum of positive squares in 24 ways, for example, as 13062661264 + 12643653136 = 114292^2 + 112444^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82128644 + ... + 82128956.

Almost surely, 2^25706314400 is an apocalyptic number.

25706314400 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 25706314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34770821400).

25706314400 is an abundant number, since it is smaller than the sum of its proper divisors (43835328400).

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

25706314400 is a wasteful number, since it uses less digits than its factorization.

25706314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 25706314400 in words is "twenty-five billion, seven hundred six million, three hundred fourteen thousand, four hundred".