32032008000000 has 1890 divisors, whose sum is σ = 125108481344847. Its totient is φ = 7888742400000.

The previous prime is 32032007999969. The next prime is 32032008000017. The reversal of 32032008000000 is 80023023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 27534283225344 + 4497724774656 = 5247312^2 + 2120784^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4002000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1104551999986 + ... + 1104552000014.

Almost surely, 2^{32032008000000} is an apocalyptic number.

32032008000000 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 32032008000000

32032008000000 is an abundant number, since it is smaller than the sum of its proper divisors (93076473344847).

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

32032008000000 is an frugal number, since it uses more digits than its factorization.

32032008000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Multiplying 32032008000000 by its sum of digits (18), we get a square (576576144000000 = 24012000²).

32032008000000 divided by its sum of digits (18) gives a square (1779556000000 = 1334000²).

32032008000000 divided by its product of nonzero digits (288) gives a square (111222250000 = 333500²).

Adding to 32032008000000 its reverse (80023023), we get a palindrome (32032088023023).

The spelling of 32032008000000 in words is "thirty-two trillion, thirty-two billion, eight million", and thus it is an aban number and an uban number.