20197328383008 has 288 divisors, whose sum is σ = 67053314764800. Its totient is φ = 5647411127808.

The previous prime is 20197328382991. The next prime is 20197328383013. The reversal of 20197328383008 is 80038382379102.

20197328383008 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 7 + 328 + 3 + 8 + 300 + 8 = 666.

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

It is a super-2 number, since 2×20197328383008² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26143783 + ... + 26905241.

It is an arithmetic number, because the mean of its divisors is an integer number (232824009600).

Almost surely, 2^{20197328383008} is an apocalyptic number.

20197328383008 is a gapful number since it is divisible by the number (28) 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 20197328383008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33526657382400).

20197328383008 is an abundant number, since it is smaller than the sum of its proper divisors (46855986381792).

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

20197328383008 is a wasteful number, since it uses less digits than its factorization.

20197328383008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761764 (or 761753 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20197328383008 in words is "twenty trillion, one hundred ninety-seven billion, three hundred twenty-eight million, three hundred eighty-three thousand, eight".