99305600640 has 512 divisors, whose sum is σ = 360408268800. Its totient is φ = 23102816256.

The previous prime is 99305600629. The next prime is 99305600651. The reversal of 99305600640 is 4600650399.

It is an interprime number because it is at equal distance from previous prime (99305600629) and next prime (99305600651).

It is a junction number, because it is equal to n+sod(n) for n = 99305600592 and 99305600601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29145817 + ... + 29149223.

It is an arithmetic number, because the mean of its divisors is an integer number (703922400).

Almost surely, 2^99305600640 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 99305600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180204134400).

99305600640 is an abundant number, since it is smaller than the sum of its proper divisors (261102668160).

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

99305600640 is a wasteful number, since it uses less digits than its factorization.

99305600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 99305600640 in words is "ninety-nine billion, three hundred five million, six hundred thousand, six hundred forty".