82142824896 has 224 divisors, whose sum is σ = 266052360960. Its totient is φ = 24644736000.

The previous prime is 82142824867. The next prime is 82142824937. The reversal of 82142824896 is 69842824128.

82142824896 is a `hidden beast` number, since 82 + 1 + 4 + 2 + 82 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898415 + ... + 1941201.

Almost surely, 2^82142824896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82142824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133026180480).

82142824896 is an abundant number, since it is smaller than the sum of its proper divisors (183909536064).

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

82142824896 is a wasteful number, since it uses less digits than its factorization.

82142824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42920 (or 42904 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 82142824896 in words is "eighty-two billion, one hundred forty-two million, eight hundred twenty-four thousand, eight hundred ninety-six".