82381536000 has 720 divisors, whose sum is σ = 315219384480. Its totient is φ = 21349785600.

The previous prime is 82381535969. The next prime is 82381536001. The reversal of 82381536000 is 63518328.

82381536000 is a `hidden beast` number, since 8 + 2 + 38 + 15 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (82381536001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95903571 + ... + 95904429.

Almost surely, 2^82381536000 is an apocalyptic number.

82381536000 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 82381536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157609692240).

82381536000 is an abundant number, since it is smaller than the sum of its proper divisors (232837848480).

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

82381536000 is an equidigital number, since it uses as much as digits as its factorization.

82381536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 82381536000 in words is "eighty-two billion, three hundred eighty-one million, five hundred thirty-six thousand".