25387632230400 has 3672 divisors, whose sum is σ = 113303627603712. Its totient is φ = 5605687296000.

The previous prime is 25387632230351. The next prime is 25387632230419. The reversal of 25387632230400 is 403223678352.

25387632230400 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 7 + 6 + 3 + 2 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 818955878385 + ... + 818955878415.

Almost surely, 2^{25387632230400} is an apocalyptic number.

25387632230400 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 25387632230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56651813801856).

25387632230400 is an abundant number, since it is smaller than the sum of its proper divisors (87915995373312).

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

25387632230400 is an equidigital number, since it uses as much as digits as its factorization.

25387632230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 69 counting only the distinct ones).

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

The spelling of 25387632230400 in words is "twenty-five trillion, three hundred eighty-seven billion, six hundred thirty-two million, two hundred thirty thousand, four hundred".