99905934240 has 576 divisors, whose sum is σ = 396038522880. Its totient is φ = 22463723520.

The previous prime is 99905934239. The next prime is 99905934251. The reversal of 99905934240 is 4243950999.

99905934240 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 593 + 4 + 2 + 40 = 666.

It is a Cunningham number, because it is equal to 316079²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227575941 + ... + 227576379.

It is an arithmetic number, because the mean of its divisors is an integer number (687566880).

Almost surely, 2^99905934240 is an apocalyptic number.

99905934240 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 99905934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198019261440).

99905934240 is an abundant number, since it is smaller than the sum of its proper divisors (296132588640).

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

99905934240 is a wasteful number, since it uses less digits than its factorization.

99905934240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 99905934240 in words is "ninety-nine billion, nine hundred five million, nine hundred thirty-four thousand, two hundred forty".