20678257028200 has 192 divisors, whose sum is σ = 52038687168000. Its totient is φ = 7618031984640.

The previous prime is 20678257028197. The next prime is 20678257028203. The reversal of 20678257028200 is 282075287602.

It is an interprime number because it is at equal distance from previous prime (20678257028197) and next prime (20678257028203).

It is not an unprimeable number, because it can be changed into a prime (20678257028203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48746616 + ... + 49168984.

It is an arithmetic number, because the mean of its divisors is an integer number (271034829000).

Almost surely, 2^{20678257028200} is an apocalyptic number.

20678257028200 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 20678257028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26019343584000).

20678257028200 is an abundant number, since it is smaller than the sum of its proper divisors (31360430139800).

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

20678257028200 is a wasteful number, since it uses less digits than its factorization.

20678257028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422804 (or 422795 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The spelling of 20678257028200 in words is "twenty trillion, six hundred seventy-eight billion, two hundred fifty-seven million, twenty-eight thousand, two hundred".