20005102311264 has 480 divisors, whose sum is σ = 72197449099776. Its totient is φ = 5303749570560.

The previous prime is 20005102311263. The next prime is 20005102311361. The reversal of 20005102311264 is 46211320150002.

20005102311264 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 510 + 23 + 1 + 126 + 4 = 666.

It is a super-3 number, since 3×20005102311264³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005102311263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21443067 + ... + 22356549.

Almost surely, 2^{20005102311264} is an apocalyptic number.

20005102311264 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 20005102311264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36098724549888).

20005102311264 is an abundant number, since it is smaller than the sum of its proper divisors (52192346788512).

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

20005102311264 is a wasteful number, since it uses less digits than its factorization.

20005102311264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913600 (or 913583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 20005102311264 its reverse (46211320150002), we get a palindrome (66216422461266).

The spelling of 20005102311264 in words is "twenty trillion, five billion, one hundred two million, three hundred eleven thousand, two hundred sixty-four".