82505031840 has 1728 divisors, whose sum is σ = 385486553088. Its totient is φ = 16460236800.

The previous prime is 82505031811. The next prime is 82505031857. The reversal of 82505031840 is 4813050528.

It is a happy number.

82505031840 is a `hidden beast` number, since 8 + 250 + 50 + 318 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82505031795 and 82505031804.

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 287 ways as a sum of consecutive naturals, for example, 649645857 + ... + 649645983.

It is an arithmetic number, because the mean of its divisors is an integer number (223082496).

Almost surely, 2^82505031840 is an apocalyptic number.

82505031840 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 82505031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192743276544).

82505031840 is an abundant number, since it is smaller than the sum of its proper divisors (302981521248).

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

82505031840 is a wasteful number, since it uses less digits than its factorization.

82505031840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 82505031840 in words is "eighty-two billion, five hundred five million, thirty-one thousand, eight hundred forty".