20162011968 has 1120 divisors, whose sum is σ = 79662528000. Its totient is φ = 5007163392.

The previous prime is 20162011963. The next prime is 20162011979. The reversal of 20162011968 is 86911026102.

20162011968 is a `hidden beast` number, since 20 + 1 + 620 + 1 + 1 + 9 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20162011963) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 695241778 + ... + 695241806.

Almost surely, 2^20162011968 is an apocalyptic number.

20162011968 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 20162011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39831264000).

20162011968 is an abundant number, since it is smaller than the sum of its proper divisors (59500516032).

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

20162011968 is a wasteful number, since it uses less digits than its factorization.

20162011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 20162011968 in words is "twenty billion, one hundred sixty-two million, eleven thousand, nine hundred sixty-eight".