5105244401664 has 208 divisors, whose sum is σ = 15165779351040. Its totient is φ = 1514126049280.

The previous prime is 5105244401623. The next prime is 5105244401669. The reversal of 5105244401664 is 4661044425015.

It is a happy number.

It is a super-2 number, since 2×5105244401664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105244401669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951092 + ... + 6754700.

Almost surely, 2^{5105244401664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105244401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582889675520).

5105244401664 is an abundant number, since it is smaller than the sum of its proper divisors (10060534949376).

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

5105244401664 is a wasteful number, since it uses less digits than its factorization.

5105244401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803694 (or 803672 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 5105244401664 its reverse (4661044425015), we get a palindrome (9766288826679).

The spelling of 5105244401664 in words is "five trillion, one hundred five billion, two hundred forty-four million, four hundred one thousand, six hundred sixty-four".