25760906332320 has 384 divisors, whose sum is σ = 82704970833408. Its totient is φ = 6738768691200.

The previous prime is 25760906332241. The next prime is 25760906332333. The reversal of 25760906332320 is 2323360906752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25760906332320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9229990125 + ... + 9229992915.

It is an arithmetic number, because the mean of its divisors is an integer number (215377528212).

Almost surely, 2^{25760906332320} is an apocalyptic number.

25760906332320 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 25760906332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41352485416704).

25760906332320 is an abundant number, since it is smaller than the sum of its proper divisors (56944064501088).

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

25760906332320 is a wasteful number, since it uses less digits than its factorization.

25760906332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The spelling of 25760906332320 in words is "twenty-five trillion, seven hundred sixty billion, nine hundred six million, three hundred thirty-two thousand, three hundred twenty".