82206882201600 has 816 divisors, whose sum is σ = 325267366452000. Its totient is φ = 20235398676480.

The previous prime is 82206882201583. The next prime is 82206882201667. The reversal of 82206882201600 is 610228860228.

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

It is a congruent number.

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, 575006926 + ... + 575149874.

Almost surely, 2^{82206882201600} is an apocalyptic number.

82206882201600 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 82206882201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162633683226000).

82206882201600 is an abundant number, since it is smaller than the sum of its proper divisors (243060484250400).

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

82206882201600 is a wasteful number, since it uses less digits than its factorization.

82206882201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143013 (or 142972 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 82206882201600 in words is "eighty-two trillion, two hundred six billion, eight hundred eighty-two million, two hundred one thousand, six hundred".