5205784326912 has 216 divisors, whose sum is σ = 16405403252784. Its totient is φ = 1577872023552.

The previous prime is 5205784326893. The next prime is 5205784326949. The reversal of 5205784326912 is 2196234875025.

5205784326912 is a `hidden beast` number, since 5 + 2 + 0 + 578 + 4 + 3 + 2 + 69 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709738 + ... + 3303830.

It is a 1-persistent number, because it is pandigital, but 2⋅5205784326912 = 10411568653824 is not.

Almost surely, 2^{5205784326912} is an apocalyptic number.

5205784326912 is a gapful number since it is divisible by the number (52) 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 5205784326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202701626392).

5205784326912 is an abundant number, since it is smaller than the sum of its proper divisors (11199618925872).

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

5205784326912 is a wasteful number, since it uses less digits than its factorization.

5205784326912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594195 (or 2594178 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5205784326912 in words is "five trillion, two hundred five billion, seven hundred eighty-four million, three hundred twenty-six thousand, nine hundred twelve".