82220094306000 has 320 divisors, whose sum is σ = 336606457474560. Its totient is φ = 18793164326400.

The previous prime is 82220094305989. The next prime is 82220094306023. The reversal of 82220094306000 is 60349002228.

82220094306000 is a `hidden beast` number, since 8 + 2 + 2 + 2 + 0 + 0 + 9 + 43 + 0 + 600 + 0 = 666.

82220094306000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108378739 + ... + 109134738.

It is an arithmetic number, because the mean of its divisors is an integer number (1051895179608).

Almost surely, 2^{82220094306000} is an apocalyptic number.

82220094306000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82220094306000 is an abundant number, since it is smaller than the sum of its proper divisors (254386363168560).

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

82220094306000 is a wasteful number, since it uses less digits than its factorization.

82220094306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217513516 (or 217513494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 82220094306000 in words is "eighty-two trillion, two hundred twenty billion, ninety-four million, three hundred six thousand".