20864850419400 has 288 divisors, whose sum is σ = 71590026695040. Its totient is φ = 4997150807040.

The previous prime is 20864850419381. The next prime is 20864850419429. The reversal of 20864850419400 is 491405846802.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9701217 + ... + 11655183.

It is an arithmetic number, because the mean of its divisors is an integer number (248576481580).

Almost surely, 2^{20864850419400} is an apocalyptic number.

20864850419400 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 20864850419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35795013347520).

20864850419400 is an abundant number, since it is smaller than the sum of its proper divisors (50725176275640).

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

20864850419400 is a wasteful number, since it uses less digits than its factorization.

20864850419400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954073 (or 1954027 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 20864850419400 in words is "twenty trillion, eight hundred sixty-four billion, eight hundred fifty million, four hundred nineteen thousand, four hundred".