82455922080 has 288 divisors, whose sum is σ = 335714258880. Its totient is φ = 18847019520.

The previous prime is 82455922051. The next prime is 82455922117. The reversal of 82455922080 is 8022955428.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16915 + ... + 406445.

It is an arithmetic number, because the mean of its divisors is an integer number (1165674510).

Almost surely, 2^82455922080 is an apocalyptic number.

82455922080 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 82455922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167857129440).

82455922080 is an abundant number, since it is smaller than the sum of its proper divisors (253258336800).

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

82455922080 is a wasteful number, since it uses less digits than its factorization.

82455922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389569 (or 389548 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 82455922080 in words is "eighty-two billion, four hundred fifty-five million, nine hundred twenty-two thousand, eighty".