82458997920 has 384 divisors, whose sum is σ = 314661473280. Its totient is φ = 20296479744.

The previous prime is 82458997919. The next prime is 82458997931. The reversal of 82458997920 is 2979985428.

It is a happy number.

82458997920 is a `hidden beast` number, since 8 + 2 + 458 + 9 + 97 + 92 + 0 = 666.

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, 4539897 + ... + 4558023.

It is an arithmetic number, because the mean of its divisors is an integer number (819430920).

Almost surely, 2^82458997920 is an apocalyptic number.

82458997920 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 82458997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157330736640).

82458997920 is an abundant number, since it is smaller than the sum of its proper divisors (232202475360).

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

82458997920 is a wasteful number, since it uses less digits than its factorization.

82458997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18176 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 82458997920 in words is "eighty-two billion, four hundred fifty-eight million, nine hundred ninety-seven thousand, nine hundred twenty".