82574130240 has 224 divisors, whose sum is σ = 332918165760. Its totient is φ = 18874073088.

The previous prime is 82574130239. The next prime is 82574130269. The reversal of 82574130240 is 4203147528.

It is a happy number.

82574130240 is a `hidden beast` number, since 82 + 574 + 1 + 3 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×82574130240³ (a number of 34 digits) contains 333 as substring.

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 = 82574130195 and 82574130204.

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 31 ways as a sum of consecutive naturals, for example, 622177 + ... + 743136.

Almost surely, 2^82574130240 is an apocalyptic number.

82574130240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82574130240 is an abundant number, since it is smaller than the sum of its proper divisors (250344035520).

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

82574130240 is a wasteful number, since it uses less digits than its factorization.

82574130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365346 (or 1365330 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 82574130240 its reverse (4203147528), we get a palindrome (86777277768).

The spelling of 82574130240 in words is "eighty-two billion, five hundred seventy-four million, one hundred thirty thousand, two hundred forty".