5209613750880 has 2304 divisors, whose sum is σ = 24099528499200. Its totient is φ = 1020534681600.

The previous prime is 5209613750857. The next prime is 5209613750897. The reversal of 5209613750880 is 880573169025.

5209613750880 is a `hidden beast` number, since 5 + 20 + 9 + 6 + 1 + 37 + 508 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13745682531 + ... + 13745682909.

It is an arithmetic number, because the mean of its divisors is an integer number (10459864800).

Almost surely, 2^{5209613750880} 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 5209613750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049764249600).

5209613750880 is an abundant number, since it is smaller than the sum of its proper divisors (18889914748320).

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

5209613750880 is a wasteful number, since it uses less digits than its factorization.

5209613750880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5209613750880 in words is "five trillion, two hundred nine billion, six hundred thirteen million, seven hundred fifty thousand, eight hundred eighty".