202099816512 has 672 divisors, whose sum is σ = 709352017920. Its totient is φ = 54280765440.

The previous prime is 202099816507. The next prime is 202099816543. The reversal of 202099816512 is 215618990202.

It is a happy number.

202099816512 is a `hidden beast` number, since 20 + 20 + 9 + 98 + 1 + 6 + 512 = 666.

It is a super-2 number, since 2×202099816512² (a number of 23 digits) contains 22 as substring.

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, 130134328 + ... + 130135880.

It is an arithmetic number, because the mean of its divisors is an integer number (1055583360).

Almost surely, 2^202099816512 is an apocalyptic number.

202099816512 is a gapful number since it is divisible by the number (22) 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 202099816512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354676008960).

202099816512 is an abundant number, since it is smaller than the sum of its proper divisors (507252201408).

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

202099816512 is a wasteful number, since it uses less digits than its factorization.

202099816512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 202099816512 in words is "two hundred two billion, ninety-nine million, eight hundred sixteen thousand, five hundred twelve".