20648192716800 has 2496 divisors, whose sum is σ = 86600630538240. Its totient is φ = 4817387520000.

The previous prime is 20648192716777. The next prime is 20648192716807. The reversal of 20648192716800 is 861729184602.

It is a happy number.

20648192716800 is a `hidden beast` number, since 2 + 0 + 6 + 481 + 92 + 71 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×20648192716800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20648192716807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114078412710 + ... + 114078412890.

It is an arithmetic number, because the mean of its divisors is an integer number (34695765440).

Almost surely, 2^{20648192716800} is an apocalyptic number.

20648192716800 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 20648192716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43300315269120).

20648192716800 is an abundant number, since it is smaller than the sum of its proper divisors (65952437821440).

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

20648192716800 is a wasteful number, since it uses less digits than its factorization.

20648192716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 20648192716800 in words is "twenty trillion, six hundred forty-eight billion, one hundred ninety-two million, seven hundred sixteen thousand, eight hundred".