20584401264 has 320 divisors, whose sum is σ = 72742010880. Its totient is φ = 5443511040.

The previous prime is 20584401221. The next prime is 20584401281. The reversal of 20584401264 is 46210448502.

20584401264 is a `hidden beast` number, since 2 + 0 + 584 + 4 + 0 + 12 + 64 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2151339 + ... + 2160885.

It is an arithmetic number, because the mean of its divisors is an integer number (227318784).

Almost surely, 2^20584401264 is an apocalyptic number.

20584401264 is a gapful number since it is divisible by the number (24) 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 20584401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36371005440).

20584401264 is an abundant number, since it is smaller than the sum of its proper divisors (52157609616).

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

20584401264 is a wasteful number, since it uses less digits than its factorization.

20584401264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 20584401264 its reverse (46210448502), we get a palindrome (66794849766).

The spelling of 20584401264 in words is "twenty billion, five hundred eighty-four million, four hundred one thousand, two hundred sixty-four".