82011268800 has 840 divisors, whose sum is σ = 315552124800. Its totient is φ = 20868710400.

The previous prime is 82011268763. The next prime is 82011268883. The reversal of 82011268800 is 886211028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 550411126 + ... + 550411274.

Almost surely, 2^82011268800 is an apocalyptic number.

82011268800 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 82011268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157776062400).

82011268800 is an abundant number, since it is smaller than the sum of its proper divisors (233540856000).

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

82011268800 is a wasteful number, since it uses less digits than its factorization.

82011268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 82011268800 its reverse (886211028), we get a palindrome (82897479828).

The spelling of 82011268800 in words is "eighty-two billion, eleven million, two hundred sixty-eight thousand, eight hundred".