20278668748800 has 4608 divisors, whose sum is σ = 94342761676800. Its totient is φ = 3715891200000.

The previous prime is 20278668748787. The next prime is 20278668748801. The reversal of 20278668748800 is 884786687202.

It is a super-2 number, since 2×20278668748800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (20278668748801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 285615052765 + ... + 285615052835.

It is an arithmetic number, because the mean of its divisors is an integer number (20473689600).

Almost surely, 2^{20278668748800} is an apocalyptic number.

20278668748800 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 20278668748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47171380838400).

20278668748800 is an abundant number, since it is smaller than the sum of its proper divisors (74064092928000).

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

20278668748800 is a wasteful number, since it uses less digits than its factorization.

20278668748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 20278668748800 in words is "twenty trillion, two hundred seventy-eight billion, six hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred".