99830839680 has 768 divisors, whose sum is σ = 426377952000. Its totient is φ = 21160673280.

The previous prime is 99830839651. The next prime is 99830839681. The reversal of 99830839680 is 8693803899.

99830839680 is a `hidden beast` number, since 99 + 83 + 0 + 8 + 396 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99830839681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15646731 + ... + 15653109.

It is an arithmetic number, because the mean of its divisors is an integer number (555179625).

Almost surely, 2^99830839680 is an apocalyptic number.

99830839680 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 99830839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213188976000).

99830839680 is an abundant number, since it is smaller than the sum of its proper divisors (326547112320).

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

99830839680 is a wasteful number, since it uses less digits than its factorization.

99830839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 99830839680 in words is "ninety-nine billion, eight hundred thirty million, eight hundred thirty-nine thousand, six hundred eighty".