99946828800 has 1584 divisors, whose sum is σ = 461824816320. Its totient is φ = 20994785280.

The previous prime is 99946828777. The next prime is 99946828811. The reversal of 99946828800 is 882864999.

99946828800 is a `hidden beast` number, since 9 + 99 + 468 + 2 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 440294287 + ... + 440294513.

Almost surely, 2^99946828800 is an apocalyptic number.

99946828800 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 99946828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230912408160).

99946828800 is an abundant number, since it is smaller than the sum of its proper divisors (361877987520).

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

99946828800 is a wasteful number, since it uses less digits than its factorization.

99946828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 99946828800 in words is "ninety-nine billion, nine hundred forty-six million, eight hundred twenty-eight thousand, eight hundred".