99922380800 has 324 divisors, whose sum is σ = 274478067045. Its totient is φ = 36049305600.

The previous prime is 99922380793. The next prime is 99922380809. The reversal of 99922380800 is 808322999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97923933184 + 1998447616 = 312928^2 + 44704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223520.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (99922380809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 786790337 + ... + 786790463.

Almost surely, 2^99922380800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99922380800

99922380800 is an abundant number, since it is smaller than the sum of its proper divisors (174555686245).

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

99922380800 is a wasteful number, since it uses less digits than its factorization.

99922380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

Multiplying 99922380800 by its sum of digits (50), we get a square (4996119040000 = 2235200²).

99922380800 divided by its sum of digits (50) gives a square (1998447616 = 44704²).

The spelling of 99922380800 in words is "ninety-nine billion, nine hundred twenty-two million, three hundred eighty thousand, eight hundred".