32811996420000 has 2160 divisors, whose sum is σ = 148999453162560. Its totient is φ = 6795436032000.

The previous prime is 32811996419947. The next prime is 32811996420011. The reversal of 32811996420000 is 2469911823.

32811996420000 is a `hidden beast` number, since 3 + 28 + 119 + 96 + 420 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3854335744 + ... + 3854344256.

It is an arithmetic number, because the mean of its divisors is an integer number (68981228316).

Almost surely, 2^{32811996420000} is an apocalyptic number.

32811996420000 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 32811996420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74499726581280).

32811996420000 is an abundant number, since it is smaller than the sum of its proper divisors (116187456742560).

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

32811996420000 is a wasteful number, since it uses less digits than its factorization.

32811996420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 32811996420000 in words is "thirty-two trillion, eight hundred eleven billion, nine hundred ninety-six million, four hundred twenty thousand".