5000164162560 has 1760 divisors, whose sum is σ = 22002785215488. Its totient is φ = 1059772170240.

The previous prime is 5000164162529. The next prime is 5000164162583. The reversal of 5000164162560 is 652614610005.

5000164162560 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 1 + 641 + 6 + 2 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×5000164162560² (a number of 26 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 3503968567 + ... + 3503969993.

Almost surely, 2^{5000164162560} 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 5000164162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001392607744).

5000164162560 is an abundant number, since it is smaller than the sum of its proper divisors (17002621052928).

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

5000164162560 is a wasteful number, since it uses less digits than its factorization.

5000164162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 5000164162560 its reverse (652614610005), we get a palindrome (5652778772565).

The spelling of 5000164162560 in words is "five trillion, one hundred sixty-four million, one hundred sixty-two thousand, five hundred sixty".