25313642726400 has 3168 divisors, whose sum is σ = 115051094592000. Its totient is φ = 5422785822720.

The previous prime is 25313642726363. The next prime is 25313642726401. The reversal of 25313642726400 is 462724631352.

25313642726400 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 364 + 27 + 264 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25313642726401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89447500659 + ... + 89447500941.

Almost surely, 2^{25313642726400} is an apocalyptic number.

25313642726400 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 25313642726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57525547296000).

25313642726400 is an abundant number, since it is smaller than the sum of its proper divisors (89737451865600).

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

25313642726400 is a wasteful number, since it uses less digits than its factorization.

25313642726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 25313642726400 in words is "twenty-five trillion, three hundred thirteen billion, six hundred forty-two million, seven hundred twenty-six thousand, four hundred".