5177844640800 has 432 divisors, whose sum is σ = 19673104356360. Its totient is φ = 1273882705920.

The previous prime is 5177844640799. The next prime is 5177844640811. The reversal of 5177844640800 is 80464487715.

5177844640800 is a `hidden beast` number, since 5 + 17 + 78 + 446 + 40 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10642810896 + 5167201829904 = 103164^2 + 2273148^2 .

It is a super-2 number, since 2×5177844640800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193645032 + ... + 193671768.

Almost surely, 2^{5177844640800} is an apocalyptic number.

5177844640800 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 5177844640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836552178180).

5177844640800 is an abundant number, since it is smaller than the sum of its proper divisors (14495259715560).

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

5177844640800 is a wasteful number, since it uses less digits than its factorization.

5177844640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28845 (or 28829 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 5177844640800 in words is "five trillion, one hundred seventy-seven billion, eight hundred forty-four million, six hundred forty thousand, eight hundred".