84528540432 has 120 divisors (see below), whose sum is σ = 271019498880. Its totient is φ = 24091845120.

The previous prime is 84528540427. The next prime is 84528540449. The reversal of 84528540432 is 23404582548.

84528540432 is a `hidden beast` number, since 8 + 45 + 28 + 540 + 43 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 309757 + ... + 514787.

It is an arithmetic number, because the mean of its divisors is an integer number (2258495824).

Almost surely, 2^84528540432 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 84528540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135509749440).

84528540432 is an abundant number, since it is smaller than the sum of its proper divisors (186490958448).

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

84528540432 is a wasteful number, since it uses less digits than its factorization.

84528540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205461 (or 205452 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 84528540432 in words is "eighty-four billion, five hundred twenty-eight million, five hundred forty thousand, four hundred thirty-two".