97565382720 has 1008 divisors, whose sum is σ = 392380305408. Its totient is φ = 22109552640.

The previous prime is 97565382713. The next prime is 97565382767. The reversal of 97565382720 is 2728356579.

97565382720 is a `hidden beast` number, since 9 + 7 + 565 + 3 + 8 + 2 + 72 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 768231297 + ... + 768231423.

It is an arithmetic number, because the mean of its divisors is an integer number (389266176).

Almost surely, 2^97565382720 is an apocalyptic number.

97565382720 is a gapful number since it is divisible by the number (90) 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 97565382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196190152704).

97565382720 is an abundant number, since it is smaller than the sum of its proper divisors (294814922688).

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

97565382720 is a wasteful number, since it uses less digits than its factorization.

97565382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 97565382720 in words is "ninety-seven billion, five hundred sixty-five million, three hundred eighty-two thousand, seven hundred twenty".