25784002459320 has 768 divisors, whose sum is σ = 94418504893440. Its totient is φ = 5514970546176.

The previous prime is 25784002459277. The next prime is 25784002459333. The reversal of 25784002459320 is 2395420048752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3107625412 + ... + 3107633708.

It is an arithmetic number, because the mean of its divisors is an integer number (122940761580).

Almost surely, 2^{25784002459320} is an apocalyptic number.

25784002459320 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 25784002459320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47209252446720).

25784002459320 is an abundant number, since it is smaller than the sum of its proper divisors (68634502434120).

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

25784002459320 is a wasteful number, since it uses less digits than its factorization.

25784002459320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 25784002459320 in words is "twenty-five trillion, seven hundred eighty-four billion, two million, four hundred fifty-nine thousand, three hundred twenty".