25230487645440 has 2592 divisors, whose sum is σ = 116460193554432. Its totient is φ = 4894138368000.

The previous prime is 25230487645417. The next prime is 25230487645457. The reversal of 25230487645440 is 4454678403252.

It is a happy number.

25230487645440 is a `hidden beast` number, since 2 + 5 + 2 + 30 + 4 + 8 + 7 + 64 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23126019295 + ... + 23126020385.

Almost surely, 2^{25230487645440} is an apocalyptic number.

25230487645440 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 25230487645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58230096777216).

25230487645440 is an abundant number, since it is smaller than the sum of its proper divisors (91229705908992).

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

25230487645440 is a wasteful number, since it uses less digits than its factorization.

25230487645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 25230487645440 in words is "twenty-five trillion, two hundred thirty billion, four hundred eighty-seven million, six hundred forty-five thousand, four hundred forty".