82087243920 has 480 divisors, whose sum is σ = 310106294784. Its totient is φ = 19284480000.

The previous prime is 82087243897. The next prime is 82087243933. The reversal of 82087243920 is 2934278028.

82087243920 is a `hidden beast` number, since 8 + 208 + 7 + 2 + 439 + 2 + 0 = 666.

It is a super-2 number, since 2×82087243920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109303545 + ... + 109304295.

Almost surely, 2^82087243920 is an apocalyptic number.

82087243920 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 82087243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155053147392).

82087243920 is an abundant number, since it is smaller than the sum of its proper divisors (228019050864).

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

82087243920 is a wasteful number, since it uses less digits than its factorization.

82087243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82087243920 in words is "eighty-two billion, eighty-seven million, two hundred forty-three thousand, nine hundred twenty".