82169827200 has 288 divisors, whose sum is σ = 294739885440. Its totient is φ = 21796945920.

The previous prime is 82169827133. The next prime is 82169827211. The reversal of 82169827200 is 272896128.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 5551009 + ... + 5565791.

It is an arithmetic number, because the mean of its divisors is an integer number (1023402380).

Almost surely, 2^82169827200 is an apocalyptic number.

82169827200 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 82169827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147369942720).

82169827200 is an abundant number, since it is smaller than the sum of its proper divisors (212570058240).

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

82169827200 is a wasteful number, since it uses less digits than its factorization.

82169827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 82169827200 in words is "eighty-two billion, one hundred sixty-nine million, eight hundred twenty-seven thousand, two hundred".