99782928000 has 1280 divisors, whose sum is σ = 449146114560. Its totient is φ = 21432729600.

The previous prime is 99782927989. The next prime is 99782928019. The reversal of 99782928000 is 82928799.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 154223677 + ... + 154224323.

It is an arithmetic number, because the mean of its divisors is an integer number (350895402).

Almost surely, 2^99782928000 is an apocalyptic number.

99782928000 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 99782928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224573057280).

99782928000 is an abundant number, since it is smaller than the sum of its proper divisors (349363186560).

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

99782928000 is a wasteful number, since it uses less digits than its factorization.

99782928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 99782928000 in words is "ninety-nine billion, seven hundred eighty-two million, nine hundred twenty-eight thousand".