20288513211264 has 320 divisors, whose sum is σ = 61146715069440. Its totient is φ = 6676877620224.

The previous prime is 20288513211259. The next prime is 20288513211269. The reversal of 20288513211264 is 46211231588202.

20288513211264 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 8 + 513 + 2 + 1 + 126 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20288513211259) and next prime (20288513211269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20288513211269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1434519777 + ... + 1434533919.

It is an arithmetic number, because the mean of its divisors is an integer number (191083484592).

Almost surely, 2^{20288513211264} is an apocalyptic number.

20288513211264 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 20288513211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573357534720).

20288513211264 is an abundant number, since it is smaller than the sum of its proper divisors (40858201858176).

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

20288513211264 is a wasteful number, since it uses less digits than its factorization.

20288513211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15919 (or 15898 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 20288513211264 its reverse (46211231588202), we get a palindrome (66499744799466).

The spelling of 20288513211264 in words is "twenty trillion, two hundred eighty-eight billion, five hundred thirteen million, two hundred eleven thousand, two hundred sixty-four".