96972772216320 has 2880 divisors, whose sum is σ = 475996085300736. Its totient is φ = 18599336017920.

The previous prime is 96972772216301. The next prime is 96972772216363. The reversal of 96972772216320 is 2361227727969.

96972772216320 is a `hidden beast` number, since 9 + 6 + 9 + 7 + 27 + 72 + 216 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 4358903437 + ... + 4358925683.

Almost surely, 2^{96972772216320} is an apocalyptic number.

96972772216320 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 96972772216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237998042650368).

96972772216320 is an abundant number, since it is smaller than the sum of its proper divisors (379023313084416).

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

96972772216320 is a wasteful number, since it uses less digits than its factorization.

96972772216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323 (or 22288 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 96972772216320 in words is "ninety-six trillion, nine hundred seventy-two billion, seven hundred seventy-two million, two hundred sixteen thousand, three hundred twenty".