25253057708400 has 480 divisors, whose sum is σ = 87460060769280. Its totient is φ = 6211777904640.

The previous prime is 25253057708387. The next prime is 25253057708419. The reversal of 25253057708400 is 480775035252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25253057708400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115286181 + ... + 115505019.

It is an arithmetic number, because the mean of its divisors is an integer number (182208459936).

Almost surely, 2^{25253057708400} is an apocalyptic number.

25253057708400 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 25253057708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730030384640).

25253057708400 is an abundant number, since it is smaller than the sum of its proper divisors (62207003060880).

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

25253057708400 is a wasteful number, since it uses less digits than its factorization.

25253057708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219033 (or 219022 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 25253057708400 in words is "twenty-five trillion, two hundred fifty-three billion, fifty-seven million, seven hundred eight thousand, four hundred".