99920785899456 has 336 divisors, whose sum is σ = 299647617884160. Its totient is φ = 33011945487360.

The previous prime is 99920785899433. The next prime is 99920785899497. The reversal of 99920785899456 is 65499858702999.

99920785899456 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 0 + 78 + 5 + 89 + 9 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036307690 + ... + 2036356758.

It is an arithmetic number, because the mean of its divisors is an integer number (891808386560).

Almost surely, 2^{99920785899456} is an apocalyptic number.

99920785899456 is a gapful number since it is divisible by the number (96) 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 99920785899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149823808942080).

99920785899456 is an abundant number, since it is smaller than the sum of its proper divisors (199726831984704).

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

99920785899456 is a wasteful number, since it uses less digits than its factorization.

99920785899456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50254 (or 50232 counting only the distinct ones).

The product of its (nonzero) digits is 31744742400, while the sum is 90.

The spelling of 99920785899456 in words is "ninety-nine trillion, nine hundred twenty billion, seven hundred eighty-five million, eight hundred ninety-nine thousand, four hundred fifty-six".