5205924864 has 352 divisors, whose sum is σ = 18121026560. Its totient is φ = 1445216256.

The previous prime is 5205924859. The next prime is 5205924877. The reversal of 5205924864 is 4684295025.

5205924864 is a `hidden beast` number, since 52 + 0 + 592 + 4 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×5205924864² = 54203307379226836992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7160469 + ... + 7161195.

Almost surely, 2^5205924864 is an apocalyptic number.

5205924864 is a gapful number since it is divisible by the number (54) 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 5205924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060513280).

5205924864 is an abundant number, since it is smaller than the sum of its proper divisors (12915101696).

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

5205924864 is a wasteful number, since it uses less digits than its factorization.

5205924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5205924864 is about 72152.0953541891. The cubic root of 5205924864 is about 1733.1359543822.

The spelling of 5205924864 in words is "five billion, two hundred five million, nine hundred twenty-four thousand, eight hundred sixty-four".