25320770657280 has 880 divisors, whose sum is σ = 105654714137280. Its totient is φ = 5678370127872.

The previous prime is 25320770657269. The next prime is 25320770657327. The reversal of 25320770657280 is 8275607702352.

It is a super-2 number, since 2×25320770657280² (a number of 28 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153778836 + ... + 153943404.

It is an arithmetic number, because the mean of its divisors is an integer number (120062175156).

Almost surely, 2^{25320770657280} is an apocalyptic number.

25320770657280 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 25320770657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52827357068640).

25320770657280 is an abundant number, since it is smaller than the sum of its proper divisors (80333943480000).

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

25320770657280 is a wasteful number, since it uses less digits than its factorization.

25320770657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164666 (or 164639 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 25320770657280 in words is "twenty-five trillion, three hundred twenty billion, seven hundred seventy million, six hundred fifty-seven thousand, two hundred eighty".