5257921680 has 480 divisors, whose sum is σ = 20885627520. Its totient is φ = 1205591040.

The previous prime is 5257921673. The next prime is 5257921727. The reversal of 5257921680 is 861297525.

5257921680 is a `hidden beast` number, since 52 + 579 + 21 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8577054 + ... + 8577666.

It is an arithmetic number, because the mean of its divisors is an integer number (43511724).

Almost surely, 2^5257921680 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 5257921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442813760).

5257921680 is an abundant number, since it is smaller than the sum of its proper divisors (15627705840).

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

5257921680 is a wasteful number, since it uses less digits than its factorization.

5257921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5257921680 is about 72511.5279110846. The cubic root of 5257921680 is about 1738.8870409433.

The spelling of 5257921680 in words is "five billion, two hundred fifty-seven million, nine hundred twenty-one thousand, six hundred eighty".