82869124800 has 1344 divisors, whose sum is σ = 365192340480. Its totient is φ = 16057958400.

The previous prime is 82869124769. The next prime is 82869124873. The reversal of 82869124800 is 842196828.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82869124800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 760267146 + ... + 760267254.

Almost surely, 2^82869124800 is an apocalyptic number.

82869124800 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 82869124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182596170240).

82869124800 is an abundant number, since it is smaller than the sum of its proper divisors (282323215680).

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

82869124800 is a wasteful number, since it uses less digits than its factorization.

82869124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 82869124800 in words is "eighty-two billion, eight hundred sixty-nine million, one hundred twenty-four thousand, eight hundred".