25281878630400 has 2352 divisors, whose sum is σ = 113827649635584. Its totient is φ = 5434968637440.

The previous prime is 25281878630339. The next prime is 25281878630413. The reversal of 25281878630400 is 403687818252.

25281878630400 is a `hidden beast` number, since 2 + 5 + 2 + 81 + 87 + 86 + 3 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 167 ways as a sum of consecutive naturals, for example, 17766604089 + ... + 17766605511.

Almost surely, 2^{25281878630400} is an apocalyptic number.

25281878630400 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 25281878630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56913824817792).

25281878630400 is an abundant number, since it is smaller than the sum of its proper divisors (88545771005184).

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

25281878630400 is an equidigital number, since it uses as much as digits as its factorization.

25281878630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 25281878630400 in words is "twenty-five trillion, two hundred eighty-one billion, eight hundred seventy-eight million, six hundred thirty thousand, four hundred".