32820090861600 has 288 divisors, whose sum is σ = 135656376186240. Its totient is φ = 7501735019520.

The previous prime is 32820090861587. The next prime is 32820090861643. The reversal of 32820090861600 is 616809002823.

32820090861600 is a `hidden beast` number, since 3 + 2 + 8 + 20 + 0 + 9 + 0 + 8 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 108380847 + ... + 108683246.

It is an arithmetic number, because the mean of its divisors is an integer number (471029083980).

Almost surely, 2^{32820090861600} is an apocalyptic number.

32820090861600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32820090861600 is an abundant number, since it is smaller than the sum of its proper divisors (102836285324640).

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

32820090861600 is a wasteful number, since it uses less digits than its factorization.

32820090861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217064129 (or 217064110 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 32820090861600 in words is "thirty-two trillion, eight hundred twenty billion, ninety million, eight hundred sixty-one thousand, six hundred".