25316498128896 has 1920 divisors, whose sum is σ = 91001875507200. Its totient is φ = 6962263621632.

The previous prime is 25316498128837. The next prime is 25316498128903. The reversal of 25316498128896 is 69882189461352.

25316498128896 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 6 + 498 + 128 + 8 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182133079995 + ... + 182133080133.

It is an arithmetic number, because the mean of its divisors is an integer number (47396810160).

Almost surely, 2^{25316498128896} is an apocalyptic number.

25316498128896 is a gapful number since it is divisible by the number (26) 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 25316498128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45500937753600).

25316498128896 is an abundant number, since it is smaller than the sum of its proper divisors (65685377378304).

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

25316498128896 is an equidigital number, since it uses as much as digits as its factorization.

25316498128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 197 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 25316498128896 in words is "twenty-five trillion, three hundred sixteen billion, four hundred ninety-eight million, one hundred twenty-eight thousand, eight hundred ninety-six".