65356247825280 has 1536 divisors, whose sum is σ = 249253714944000. Its totient is φ = 15718219776000.

The previous prime is 65356247825263. The next prime is 65356247825353. The reversal of 65356247825280 is 8252874265356.

65356247825280 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 6 + 24 + 7 + 82 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57888615756 + ... + 57888616884.

It is an arithmetic number, because the mean of its divisors is an integer number (162274554000).

Almost surely, 2^{65356247825280} is an apocalyptic number.

65356247825280 is a gapful number since it is divisible by the number (60) 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 65356247825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124626857472000).

65356247825280 is an abundant number, since it is smaller than the sum of its proper divisors (183897467118720).

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

65356247825280 is a wasteful number, since it uses less digits than its factorization.

65356247825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 65356247825280 in words is "sixty-five trillion, three hundred fifty-six billion, two hundred forty-seven million, eight hundred twenty-five thousand, two hundred eighty".