20986134400 has 384 divisors, whose sum is σ = 65895068160. Its totient is φ = 6413721600.

The previous prime is 20986134383. The next prime is 20986134437. The reversal of 20986134400 is 443168902.

It is a self number, because there is not a number n which added to its sum of digits gives 20986134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13058397 + ... + 13060003.

It is an arithmetic number, because the mean of its divisors is an integer number (171601740).

Almost surely, 2^20986134400 is an apocalyptic number.

20986134400 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 20986134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947534080).

20986134400 is an abundant number, since it is smaller than the sum of its proper divisors (44908933760).

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

20986134400 is a wasteful number, since it uses less digits than its factorization.

20986134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 20986134400 in words is "twenty billion, nine hundred eighty-six million, one hundred thirty-four thousand, four hundred".