25798198308480 has 512 divisors, whose sum is σ = 101789999136000. Its totient is φ = 6131347439616.

The previous prime is 25798198308479. The next prime is 25798198308481. The reversal of 25798198308480 is 8480389189752.

25798198308480 is a `hidden beast` number, since 2 + 5 + 7 + 98 + 198 + 308 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25798198308479) and next prime (25798198308481).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 25798198308399 and 25798198308408.

It is not an unprimeable number, because it can be changed into a prime (25798198308481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4534519 + ... + 8494601.

Almost surely, 2^{25798198308480} is an apocalyptic number.

25798198308480 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 25798198308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50894999568000).

25798198308480 is an abundant number, since it is smaller than the sum of its proper divisors (75991800827520).

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

25798198308480 is a wasteful number, since it uses less digits than its factorization.

25798198308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960153 (or 3960135 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 25798198308480 in words is "twenty-five trillion, seven hundred ninety-eight billion, one hundred ninety-eight million, three hundred eight thousand, four hundred eighty".