82468162560 has 352 divisors, whose sum is σ = 305115535872. Its totient is φ = 18620743680.

The previous prime is 82468162541. The next prime is 82468162603. The reversal of 82468162560 is 6526186428.

It is a super-3 number, since 3×82468162560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8919540 + ... + 8928780.

Almost surely, 2^82468162560 is an apocalyptic number.

82468162560 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 82468162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152557767936).

82468162560 is an abundant number, since it is smaller than the sum of its proper divisors (222647373312).

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

82468162560 is a wasteful number, since it uses less digits than its factorization.

82468162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 82468162560 in words is "eighty-two billion, four hundred sixty-eight million, one hundred sixty-two thousand, five hundred sixty".