32082051456 has 1152 divisors, whose sum is σ = 127675440000. Its totient is φ = 7880011776.

The previous prime is 32082051383. The next prime is 32082051481. The reversal of 32082051456 is 65415028023.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32082051456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 543763555 + ... + 543763613.

It is an arithmetic number, because the mean of its divisors is an integer number (110829375).

Almost surely, 2^32082051456 is an apocalyptic number.

32082051456 is a gapful number since it is divisible by the number (36) 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 32082051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63837720000).

32082051456 is an abundant number, since it is smaller than the sum of its proper divisors (95593388544).

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

32082051456 is a wasteful number, since it uses less digits than its factorization.

32082051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 32082051456 its reverse (65415028023), we get a palindrome (97497079479).

The spelling of 32082051456 in words is "thirty-two billion, eighty-two million, fifty-one thousand, four hundred fifty-six".