5417163460800 has 2016 divisors, whose sum is σ = 24471390175232. Its totient is φ = 1106127912960.

The previous prime is 5417163460799. The next prime is 5417163460801. The reversal of 5417163460800 is 80643617145.

5417163460800 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 1 + 6 + 34 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5417163460799) and next prime (5417163460801).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×5417163460800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5417163460801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7156094022 + ... + 7156094778.

Almost surely, 2^{5417163460800} is an apocalyptic number.

5417163460800 is a gapful number since it is divisible by the number (50) 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 5417163460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235695087616).

5417163460800 is an abundant number, since it is smaller than the sum of its proper divisors (19054226714432).

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

5417163460800 is a wasteful number, since it uses less digits than its factorization.

5417163460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5417163460800 in words is "five trillion, four hundred seventeen billion, one hundred sixty-three million, four hundred sixty thousand, eight hundred".