99833610240 has 1216 divisors, whose sum is σ = 450970705920. Its totient is φ = 20384317440.

The previous prime is 99833610211. The next prime is 99833610263. The reversal of 99833610240 is 4201633899.

It is a happy number.

99833610240 is a `hidden beast` number, since 9 + 9 + 8 + 3 + 3 + 610 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3220439025 + ... + 3220439055.

Almost surely, 2^99833610240 is an apocalyptic number.

99833610240 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 99833610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225485352960).

99833610240 is an abundant number, since it is smaller than the sum of its proper divisors (351137095680).

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

99833610240 is an equidigital number, since it uses as much as digits as its factorization.

99833610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 99833610240 in words is "ninety-nine billion, eight hundred thirty-three million, six hundred ten thousand, two hundred forty".