5164883792640 has 2160 divisors, whose sum is σ = 22107299106816. Its totient is φ = 1141243084800.

The previous prime is 5164883792617. The next prime is 5164883792669. The reversal of 5164883792640 is 462973884615.

5164883792640 is a `hidden beast` number, since 5 + 1 + 6 + 488 + 3 + 7 + 92 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×5164883792640³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24478122135 + ... + 24478122345.

It is a 1-persistent number, because it is pandigital, but 2⋅5164883792640 = 10329767585280 is not.

Almost surely, 2^{5164883792640} 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 5164883792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053649553408).

5164883792640 is an abundant number, since it is smaller than the sum of its proper divisors (16942415314176).

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

5164883792640 is a wasteful number, since it uses less digits than its factorization.

5164883792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5164883792640 in words is "five trillion, one hundred sixty-four billion, eight hundred eighty-three million, seven hundred ninety-two thousand, six hundred forty".