82217192720 has 80 divisors (see below), whose sum is σ = 207222903552. Its totient is φ = 30156019200.

The previous prime is 82217192699. The next prime is 82217192789. The reversal of 82217192720 is 2729171228.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104732 + ... + 418811.

Almost surely, 2^82217192720 is an apocalyptic number.

82217192720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82217192720 is an abundant number, since it is smaller than the sum of its proper divisors (125005710832).

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

82217192720 is a wasteful number, since it uses less digits than its factorization.

82217192720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523720 (or 523714 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 82217192720 in words is "eighty-two billion, two hundred seventeen million, one hundred ninety-two thousand, seven hundred twenty".