99856465920 has 720 divisors, whose sum is σ = 379816190208. Its totient is φ = 24159191040.

The previous prime is 99856465909. The next prime is 99856465927. The reversal of 99856465920 is 2956465899.

99856465920 is a `hidden beast` number, since 9 + 9 + 8 + 564 + 65 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (99856465927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388546432 + ... + 388546688.

Almost surely, 2^99856465920 is an apocalyptic number.

99856465920 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 99856465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189908095104).

99856465920 is an abundant number, since it is smaller than the sum of its proper divisors (279959724288).

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

99856465920 is a wasteful number, since it uses less digits than its factorization.

99856465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 99856465920 in words is "ninety-nine billion, eight hundred fifty-six million, four hundred sixty-five thousand, nine hundred twenty".