97982419659264 has 360 divisors, whose sum is σ = 329029473801600. Its totient is φ = 27988443205632.

The previous prime is 97982419659221. The next prime is 97982419659277. The reversal of 97982419659264 is 46295691428979.

97982419659264 is a `hidden beast` number, since 9 + 7 + 9 + 8 + 2 + 4 + 19 + 6 + 592 + 6 + 4 = 666.

It is a super-2 number, since 2×97982419659264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1012177137 + ... + 1012273935.

It is an arithmetic number, because the mean of its divisors is an integer number (913970760560).

Almost surely, 2^{97982419659264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97982419659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164514736900800).

97982419659264 is an abundant number, since it is smaller than the sum of its proper divisors (231047054142336).

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

97982419659264 is a wasteful number, since it uses less digits than its factorization.

97982419659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101320 (or 101294 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

The spelling of 97982419659264 in words is "ninety-seven trillion, nine hundred eighty-two billion, four hundred nineteen million, six hundred fifty-nine thousand, two hundred sixty-four".