20055579264 has 288 divisors, whose sum is σ = 69626138400. Its totient is φ = 5729730048.

The previous prime is 20055579241. The next prime is 20055579289. The reversal of 20055579264 is 46297555002.

20055579264 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 557 + 92 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20055579264² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1517517 + ... + 1530675.

It is an arithmetic number, because the mean of its divisors is an integer number (241757425).

Almost surely, 2^20055579264 is an apocalyptic number.

20055579264 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 20055579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34813069200).

20055579264 is an abundant number, since it is smaller than the sum of its proper divisors (49570559136).

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

20055579264 is an equidigital number, since it uses as much as digits as its factorization.

20055579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13202 (or 13171 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 20055579264 in words is "twenty billion, fifty-five million, five hundred seventy-nine thousand, two hundred sixty-four".