5217378566400 has 5184 divisors, whose sum is σ = 27183460147200. Its totient is φ = 961486848000.

The previous prime is 5217378566383. The next prime is 5217378566483. The reversal of 5217378566400 is 46658737125.

5217378566400 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 3 + 78 + 566 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 37535097531 + ... + 37535097669.

Almost surely, 2^{5217378566400} is an apocalyptic number.

5217378566400 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 5217378566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591730073600).

5217378566400 is an abundant number, since it is smaller than the sum of its proper divisors (21966081580800).

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

5217378566400 is a wasteful number, since it uses less digits than its factorization.

5217378566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5217378566400 in words is "five trillion, two hundred seventeen billion, three hundred seventy-eight million, five hundred sixty-six thousand, four hundred".