25622898048000 has 2112 divisors, whose sum is σ = 105681826897920. Its totient is φ = 6117027840000.

The previous prime is 25622898047977. The next prime is 25622898048023. The reversal of 25622898048000 is 84089822652.

It is a happy number.

25622898048000 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 2 + 89 + 80 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25622898047977) and next prime (25622898048023).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29690495569 + ... + 29690496431.

Almost surely, 2^{25622898048000} is an apocalyptic number.

25622898048000 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 25622898048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52840913448960).

25622898048000 is an abundant number, since it is smaller than the sum of its proper divisors (80058928849920).

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

25622898048000 is a wasteful number, since it uses less digits than its factorization.

25622898048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 25622898048000 in words is "twenty-five trillion, six hundred twenty-two billion, eight hundred ninety-eight million, forty-eight thousand".