25904611821648 has 1280 divisors, whose sum is σ = 87290413056000. Its totient is φ = 6454204416000.

The previous prime is 25904611821619. The next prime is 25904611821731. The reversal of 25904611821648 is 84612811640952.

It is a super-2 number, since 2×25904611821648² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 98496622765 + ... + 98496623027.

It is an arithmetic number, because the mean of its divisors is an integer number (68195635200).

Almost surely, 2^{25904611821648} is an apocalyptic number.

25904611821648 is a gapful number since it is divisible by the number (28) 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 25904611821648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43645206528000).

25904611821648 is an abundant number, since it is smaller than the sum of its proper divisors (61385801234352).

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

25904611821648 is a wasteful number, since it uses less digits than its factorization.

25904611821648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 25904611821648 in words is "twenty-five trillion, nine hundred four billion, six hundred eleven million, eight hundred twenty-one thousand, six hundred forty-eight".