32054432520 has 256 divisors, whose sum is σ = 106438406400. Its totient is φ = 7658127360.

The previous prime is 32054432497. The next prime is 32054432539. The reversal of 32054432520 is 2523445023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28391316 + ... + 28392444.

It is an arithmetic number, because the mean of its divisors is an integer number (415775025).

Almost surely, 2^32054432520 is an apocalyptic number.

32054432520 is a gapful number since it is divisible by the number (30) 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 32054432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53219203200).

32054432520 is an abundant number, since it is smaller than the sum of its proper divisors (74383973880).

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

32054432520 is a wasteful number, since it uses less digits than its factorization.

32054432520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 32054432520 its reverse (2523445023), we get a palindrome (34577877543).

The spelling of 32054432520 in words is "thirty-two billion, fifty-four million, four hundred thirty-two thousand, five hundred twenty".