82141839360 has 816 divisors, whose sum is σ = 341547957504. Its totient is φ = 17855152128.

The previous prime is 82141839347. The next prime is 82141839397. The reversal of 82141839360 is 6393814128.

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

It is a zygodrome in base 8.

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, 474808234 + ... + 474808406.

Almost surely, 2^82141839360 is an apocalyptic number.

82141839360 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 82141839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170773978752).

82141839360 is an abundant number, since it is smaller than the sum of its proper divisors (259406118144).

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

82141839360 is a wasteful number, since it uses less digits than its factorization.

82141839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 82141839360 in words is "eighty-two billion, one hundred forty-one million, eight hundred thirty-nine thousand, three hundred sixty".