99824054400 has 2304 divisors, whose sum is σ = 480143376000. Its totient is φ = 20065812480.

The previous prime is 99824054333. The next prime is 99824054413. The reversal of 99824054400 is 445042899.

99824054400 is a `hidden beast` number, since 99 + 82 + 40 + 5 + 440 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1367452764 + ... + 1367452836.

Almost surely, 2^99824054400 is an apocalyptic number.

99824054400 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 99824054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240071688000).

99824054400 is an abundant number, since it is smaller than the sum of its proper divisors (380319321600).

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

99824054400 is a wasteful number, since it uses less digits than its factorization.

99824054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 99824054400 in words is "ninety-nine billion, eight hundred twenty-four million, fifty-four thousand, four hundred".