20968197120 has 1056 divisors, whose sum is σ = 86909397120. Its totient is φ = 4624220160.

The previous prime is 20968197109. The next prime is 20968197193. The reversal of 20968197120 is 2179186902.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295326685 + ... + 295326755.

Almost surely, 2^20968197120 is an apocalyptic number.

20968197120 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 20968197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43454698560).

20968197120 is an abundant number, since it is smaller than the sum of its proper divisors (65941200000).

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

20968197120 is a wasteful number, since it uses less digits than its factorization.

20968197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 20968197120 in words is "twenty billion, nine hundred sixty-eight million, one hundred ninety-seven thousand, one hundred twenty".