20768161248000 has 864 divisors, whose sum is σ = 79697639810880. Its totient is φ = 5174732390400.

The previous prime is 20768161247971. The next prime is 20768161248041. The reversal of 20768161248000 is 84216186702.

20768161248000 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 8 + 161 + 2 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 680528742 + ... + 680559258.

It is an arithmetic number, because the mean of its divisors is an integer number (92242638670).

Almost surely, 2^{20768161248000} is an apocalyptic number.

20768161248000 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 20768161248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39848819905440).

20768161248000 is an abundant number, since it is smaller than the sum of its proper divisors (58929478562880).

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

20768161248000 is a wasteful number, since it uses less digits than its factorization.

20768161248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30710 (or 30683 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 20768161248000 in words is "twenty trillion, seven hundred sixty-eight billion, one hundred sixty-one million, two hundred forty-eight thousand".