20886341400 has 384 divisors, whose sum is σ = 75520166400. Its totient is φ = 5295628800.

The previous prime is 20886341393. The next prime is 20886341429. The reversal of 20886341400 is 414368802.

20886341400 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 634 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26205802 + ... + 26206598.

It is an arithmetic number, because the mean of its divisors is an integer number (196667100).

Almost surely, 2^20886341400 is an apocalyptic number.

20886341400 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 20886341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37760083200).

20886341400 is an abundant number, since it is smaller than the sum of its proper divisors (54633825000).

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

20886341400 is a wasteful number, since it uses less digits than its factorization.

20886341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20886341400 in words is "twenty billion, eight hundred eighty-six million, three hundred forty-one thousand, four hundred".