20836635456 has 448 divisors, whose sum is σ = 74556518400. Its totient is φ = 4977967104.

The previous prime is 20836635451. The next prime is 20836635481. The reversal of 20836635456 is 65453663802.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20836635451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7633900 + ... + 7636628.

It is an arithmetic number, because the mean of its divisors is an integer number (166420800).

Almost surely, 2^20836635456 is an apocalyptic number.

20836635456 is a gapful number since it is divisible by the number (26) 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 20836635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37278259200).

20836635456 is an abundant number, since it is smaller than the sum of its proper divisors (53719882944).

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

20836635456 is a wasteful number, since it uses less digits than its factorization.

20836635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 20836635456 in words is "twenty billion, eight hundred thirty-six million, six hundred thirty-five thousand, four hundred fifty-six".