83499681013920 has 144 divisors (see below), whose sum is σ = 284945458248360. Its totient is φ = 22266363052032.

The previous prime is 83499681013901. The next prime is 83499681013937. The reversal of 83499681013920 is 2931018699438.

83499681013920 is a `hidden beast` number, since 8 + 3 + 499 + 6 + 8 + 1 + 0 + 139 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83493613850256 + 6067163664 = 9137484^2 + 77892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191199652 + ... + 191635868.

Almost surely, 2^{83499681013920} is an apocalyptic number.

83499681013920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83499681013920 is an abundant number, since it is smaller than the sum of its proper divisors (201445777234440).

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

83499681013920 is a wasteful number, since it uses less digits than its factorization.

83499681013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569167 (or 569156 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 83499681013920 in words is "eighty-three trillion, four hundred ninety-nine billion, six hundred eighty-one million, thirteen thousand, nine hundred twenty".