22196516832000 has 4320 divisors, whose sum is σ = 104209908042240. Its totient is φ = 4581992448000.

The previous prime is 22196516831999. The next prime is 22196516832011. The reversal of 22196516832000 is 23861569122.

22196516832000 is a `hidden beast` number, since 2 + 21 + 96 + 516 + 8 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 (11) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 331291295967 + ... + 331291296033.

Almost surely, 2^{22196516832000} is an apocalyptic number.

22196516832000 is a gapful number since it is divisible by the number (20) 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 22196516832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52104954021120).

22196516832000 is an abundant number, since it is smaller than the sum of its proper divisors (82013391210240).

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

22196516832000 is an equidigital number, since it uses as much as digits as its factorization.

22196516832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 22196516832000 in words is "twenty-two trillion, one hundred ninety-six billion, five hundred sixteen million, eight hundred thirty-two thousand".