82524000042 has 128 divisors (see below), whose sum is σ = 203113163520. Its totient is φ = 24626488320.

The previous prime is 82524000019. The next prime is 82524000043. The reversal of 82524000042 is 24000042528.

It is a happy number.

82524000042 is a `hidden beast` number, since 8 + 252 + 400 + 0 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82524000043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41322988 + ... + 41324984.

It is an arithmetic number, because the mean of its divisors is an integer number (1586821590).

Almost surely, 2^82524000042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82524000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556581760).

82524000042 is an abundant number, since it is smaller than the sum of its proper divisors (120589163478).

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

82524000042 is a wasteful number, since it uses less digits than its factorization.

82524000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 82524000042 in words is "eighty-two billion, five hundred twenty-four million, forty-two", and thus it is an aban number.