25328358720 has 672 divisors, whose sum is σ = 107577331200. Its totient is φ = 5586997248.

The previous prime is 25328358719. The next prime is 25328358721. The reversal of 25328358720 is 2785382352.

25328358720 is a `hidden beast` number, since 2 + 532 + 8 + 35 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25328358719) and next prime (25328358721).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25328358721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12276409 + ... + 12278471.

Almost surely, 2^25328358720 is an apocalyptic number.

25328358720 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 25328358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53788665600).

25328358720 is an abundant number, since it is smaller than the sum of its proper divisors (82248972480).

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

25328358720 is a wasteful number, since it uses less digits than its factorization.

25328358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25328358720 in words is "twenty-five billion, three hundred twenty-eight million, three hundred fifty-eight thousand, seven hundred twenty".