25488933600 has 288 divisors, whose sum is σ = 89710195680. Its totient is φ = 6248816640.

The previous prime is 25488933581. The next prime is 25488933619. The reversal of 25488933600 is 633988452.

It is an interprime number because it is at equal distance from previous prime (25488933581) and next prime (25488933619).

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 25488933600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8391282 + ... + 8394318.

It is an arithmetic number, because the mean of its divisors is an integer number (311493735).

Almost surely, 2^25488933600 is an apocalyptic number.

25488933600 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 25488933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44855097840).

25488933600 is an abundant number, since it is smaller than the sum of its proper divisors (64221262080).

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

25488933600 is a wasteful number, since it uses less digits than its factorization.

25488933600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 25488933600 in words is "twenty-five billion, four hundred eighty-eight million, nine hundred thirty-three thousand, six hundred".