99984661600 has 144 divisors (see below), whose sum is σ = 256711569408. Its totient is φ = 37952893440.

The previous prime is 99984661583. The next prime is 99984661607. The reversal of 99984661600 is 616648999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99984661607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2315407 + ... + 2358193.

It is an arithmetic number, because the mean of its divisors is an integer number (1782719232).

Almost surely, 2^99984661600 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 99984661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128355784704).

99984661600 is an abundant number, since it is smaller than the sum of its proper divisors (156726907808).

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

99984661600 is a wasteful number, since it uses less digits than its factorization.

99984661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42957 (or 42944 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 99984661600 in words is "ninety-nine billion, nine hundred eighty-four million, six hundred sixty-one thousand, six hundred".