20105160768 has 448 divisors, whose sum is σ = 75106621440. Its totient is φ = 5121792000.

The previous prime is 20105160767. The next prime is 20105160773. The reversal of 20105160768 is 86706150102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20105160767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7050543 + ... + 7053393.

Almost surely, 2^20105160768 is an apocalyptic number.

20105160768 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 20105160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37553310720).

20105160768 is an abundant number, since it is smaller than the sum of its proper divisors (55001460672).

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

20105160768 is a wasteful number, since it uses less digits than its factorization.

20105160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 20105160768 in words is "twenty billion, one hundred five million, one hundred sixty thousand, seven hundred sixty-eight".