82291222665600 has 1536 divisors, whose sum is σ = 329464412928000. Its totient is φ = 17832031027200.

The previous prime is 82291222665599. The next prime is 82291222665637. The reversal of 82291222665600 is 656622219228.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3184508680 + ... + 3184534520.

It is an arithmetic number, because the mean of its divisors is an integer number (214495060500).

Almost surely, 2^{82291222665600} is an apocalyptic number.

82291222665600 is a gapful number since it is divisible by the number (80) 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 82291222665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164732206464000).

82291222665600 is an abundant number, since it is smaller than the sum of its proper divisors (247173190262400).

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

82291222665600 is a wasteful number, since it uses less digits than its factorization.

82291222665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25996 (or 25979 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 82291222665600 in words is "eighty-two trillion, two hundred ninety-one billion, two hundred twenty-two million, six hundred sixty-five thousand, six hundred".