99788573332800 has 1344 divisors, whose sum is σ = 420499114905600. Its totient is φ = 22750831411200.

The previous prime is 99788573332769. The next prime is 99788573332801. The reversal of 99788573332800 is 823337588799.

99788573332800 is a `hidden beast` number, since 9 + 9 + 7 + 8 + 8 + 5 + 7 + 333 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99788573332801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12755789689 + ... + 12755797511.

Almost surely, 2^{99788573332800} is an apocalyptic number.

99788573332800 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 99788573332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210249557452800).

99788573332800 is an abundant number, since it is smaller than the sum of its proper divisors (320710541572800).

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

99788573332800 is a wasteful number, since it uses less digits than its factorization.

99788573332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 99788573332800 in words is "ninety-nine trillion, seven hundred eighty-eight billion, five hundred seventy-three million, three hundred thirty-two thousand, eight hundred".