96800330880 has 512 divisors, whose sum is σ = 383154105600. Its totient is φ = 22892544000.

The previous prime is 96800330857. The next prime is 96800330881. The reversal of 96800330880 is 8803300869.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (96800330881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7787070 + ... + 7799490.

Almost surely, 2^96800330880 is an apocalyptic number.

96800330880 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 96800330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191577052800).

96800330880 is an abundant number, since it is smaller than the sum of its proper divisors (286353774720).

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

96800330880 is a wasteful number, since it uses less digits than its factorization.

96800330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 96800330880 in words is "ninety-six billion, eight hundred million, three hundred thirty thousand, eight hundred eighty".