96216802560 has 792 divisors, whose sum is σ = 369328152480. Its totient is φ = 23944605696.

The previous prime is 96216802553. The next prime is 96216802621. The reversal of 96216802560 is 6520861269.

96216802560 is a `hidden beast` number, since 9 + 6 + 2 + 1 + 6 + 80 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1436071647 + ... + 1436071713.

Almost surely, 2^96216802560 is an apocalyptic number.

96216802560 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 96216802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184664076240).

96216802560 is an abundant number, since it is smaller than the sum of its proper divisors (273111349920).

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

96216802560 is an frugal number, since it uses more digits than its factorization.

96216802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 96216802560 in words is "ninety-six billion, two hundred sixteen million, eight hundred two thousand, five hundred sixty".