82071616900 has 144 divisors (see below), whose sum is σ = 219740241280. Its totient is φ = 25909632000.

The previous prime is 82071616849. The next prime is 82071616901. The reversal of 82071616900 is 961617028.

It is a super-2 number, since 2×82071616900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82071616901) 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, 3710875 + ... + 3732925.

Almost surely, 2^82071616900 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 82071616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109870120640).

82071616900 is an abundant number, since it is smaller than the sum of its proper divisors (137668624380).

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

82071616900 is a wasteful number, since it uses less digits than its factorization.

82071616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22494 (or 22487 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 82071616900 in words is "eighty-two billion, seventy-one million, six hundred sixteen thousand, nine hundred".