5208683627520 has 528 divisors, whose sum is σ = 19149037165440. Its totient is φ = 1304579801088.

The previous prime is 5208683627509. The next prime is 5208683627657. The reversal of 5208683627520 is 257263868025.

It is a happy number.

5208683627520 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 6 + 8 + 3 + 627 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×5208683627520² (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 47 ways as a sum of consecutive naturals, for example, 394023471 + ... + 394036689.

Almost surely, 2^{5208683627520} 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 5208683627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574518582720).

5208683627520 is an abundant number, since it is smaller than the sum of its proper divisors (13940353537920).

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

5208683627520 is a wasteful number, since it uses less digits than its factorization.

5208683627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13770 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5208683627520 in words is "five trillion, two hundred eight billion, six hundred eighty-three million, six hundred twenty-seven thousand, five hundred twenty".