25790282460800 has 384 divisors, whose sum is σ = 74871495417600. Its totient is φ = 8654181580800.

The previous prime is 25790282460797. The next prime is 25790282460827. The reversal of 25790282460800 is 806428209752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1935183737 + ... + 1935197063.

It is an arithmetic number, because the mean of its divisors is an integer number (194977852650).

Almost surely, 2^{25790282460800} is an apocalyptic number.

25790282460800 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 25790282460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37435747708800).

25790282460800 is an abundant number, since it is smaller than the sum of its proper divisors (49081212956800).

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

25790282460800 is a wasteful number, since it uses less digits than its factorization.

25790282460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17604 (or 17587 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 25790282460800 in words is "twenty-five trillion, seven hundred ninety billion, two hundred eighty-two million, four hundred sixty thousand, eight hundred".