21192196393872 has 640 divisors, whose sum is σ = 72714157424640. Its totient is φ = 5782233600000.

The previous prime is 21192196393831. The next prime is 21192196393889. The reversal of 21192196393872 is 27839369129112.

21192196393872 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 219 + 6 + 39 + 387 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2963525497 + ... + 2963532647.

It is an arithmetic number, because the mean of its divisors is an integer number (113615870976).

Almost surely, 2^{21192196393872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21192196393872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36357078712320).

21192196393872 is an abundant number, since it is smaller than the sum of its proper divisors (51521961030768).

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

21192196393872 is a wasteful number, since it uses less digits than its factorization.

21192196393872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7608 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 21192196393872 in words is "twenty-one trillion, one hundred ninety-two billion, one hundred ninety-six million, three hundred ninety-three thousand, eight hundred seventy-two".