82514406240 has 1536 divisors, whose sum is σ = 367873228800. Its totient is φ = 16860856320.

The previous prime is 82514406239. The next prime is 82514406277. The reversal of 82514406240 is 4260441528.

82514406240 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 4 + 406 + 240 = 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 = 82514406195 and 82514406204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 927128116 + ... + 927128204.

It is an arithmetic number, because the mean of its divisors is an integer number (239500800).

Almost surely, 2^82514406240 is an apocalyptic number.

82514406240 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 82514406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183936614400).

82514406240 is an abundant number, since it is smaller than the sum of its proper divisors (285358822560).

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

82514406240 is a wasteful number, since it uses less digits than its factorization.

82514406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 82514406240 its reverse (4260441528), we get a palindrome (86774847768).

The spelling of 82514406240 in words is "eighty-two billion, five hundred fourteen million, four hundred six thousand, two hundred forty".