97862566752 has 288 divisors, whose sum is σ = 309791139840. Its totient is φ = 29175552000.

The previous prime is 97862566709. The next prime is 97862566829. The reversal of 97862566752 is 25766526879.

It is a happy number.

97862566752 is a `hidden beast` number, since 9 + 7 + 8 + 62 + 566 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 97862566752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6947877 + ... + 6961947.

It is an arithmetic number, because the mean of its divisors is an integer number (1075663680).

Almost surely, 2^97862566752 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 97862566752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154895569920).

97862566752 is an abundant number, since it is smaller than the sum of its proper divisors (211928573088).

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

97862566752 is a wasteful number, since it uses less digits than its factorization.

97862566752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14167 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 97862566752 in words is "ninety-seven billion, eight hundred sixty-two million, five hundred sixty-six thousand, seven hundred fifty-two".