82732285440000 has 2080 divisors, whose sum is σ = 354524051988480. Its totient is φ = 18901278720000.

The previous prime is 82732285439987. The next prime is 82732285440059. The reversal of 82732285440000 is 4458223728.

82732285440000 is a `hidden beast` number, since 82 + 7 + 3 + 2 + 28 + 544 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39191038945 + ... + 39191041055.

Almost surely, 2^{82732285440000} is an apocalyptic number.

82732285440000 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 82732285440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177262025994240).

82732285440000 is an abundant number, since it is smaller than the sum of its proper divisors (271791766548480).

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

82732285440000 is an frugal number, since it uses more digits than its factorization.

82732285440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 82732285440000 in words is "eighty-two trillion, seven hundred thirty-two billion, two hundred eighty-five million, four hundred forty thousand".