5117201426064 has 640 divisors, whose sum is σ = 17826059059200. Its totient is φ = 1226244096000.

The previous prime is 5117201426063. The next prime is 5117201426087. The reversal of 5117201426064 is 4606241027115.

It is a super-2 number, since 2×5117201426064² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5117201426063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1033566789 + ... + 1033571739.

It is an arithmetic number, because the mean of its divisors is an integer number (27853217280).

Almost surely, 2^{5117201426064} 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 5117201426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913029529600).

5117201426064 is an abundant number, since it is smaller than the sum of its proper divisors (12708857633136).

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

5117201426064 is a wasteful number, since it uses less digits than its factorization.

5117201426064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 5117201426064 in words is "five trillion, one hundred seventeen billion, two hundred one million, four hundred twenty-six thousand, sixty-four".