99843972480 has 1152 divisors, whose sum is σ = 430960608000. Its totient is φ = 20801691648.

The previous prime is 99843972451. The next prime is 99843972493. The reversal of 99843972480 is 8427934899.

99843972480 is a `hidden beast` number, since 9 + 9 + 84 + 3 + 9 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1692270691 + ... + 1692270749.

It is an arithmetic number, because the mean of its divisors is an integer number (374097750).

Almost surely, 2^99843972480 is an apocalyptic number.

99843972480 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 99843972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215480304000).

99843972480 is an abundant number, since it is smaller than the sum of its proper divisors (331116635520).

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

99843972480 is a wasteful number, since it uses less digits than its factorization.

99843972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 99843972480 in words is "ninety-nine billion, eight hundred forty-three million, nine hundred seventy-two thousand, four hundred eighty".