5017361472000 has 960 divisors, whose sum is σ = 18481343680800. Its totient is φ = 1307993702400.

The previous prime is 5017361471933. The next prime is 5017361472001. The reversal of 5017361472000 is 2741637105.

It is a happy number.

5017361472000 is a `hidden beast` number, since 5 + 0 + 17 + 3 + 614 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1167540758784 + 3849820713216 = 1080528^2 + 1962096^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5017361472000² (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 not an unprimeable number, because it can be changed into a prime (5017361472001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4972607496 + ... + 4972608504.

Almost surely, 2^{5017361472000} is an apocalyptic number.

5017361472000 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 5017361472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240671840400).

5017361472000 is an abundant number, since it is smaller than the sum of its proper divisors (13463982208800).

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

5017361472000 is a wasteful number, since it uses less digits than its factorization.

5017361472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 5017361472000 in words is "five trillion, seventeen billion, three hundred sixty-one million, four hundred seventy-two thousand".