5208169451520 has 624 divisors, whose sum is σ = 19472728771008. Its totient is φ = 1185038991360.

The previous prime is 5208169451501. The next prime is 5208169451533. The reversal of 5208169451520 is 251549618025.

It is a super-2 number, since 2×5208169451520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5208169451520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683393310 + ... + 683400930.

Almost surely, 2^{5208169451520} 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 5208169451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736364385504).

5208169451520 is an abundant number, since it is smaller than the sum of its proper divisors (14264559319488).

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

5208169451520 is a wasteful number, since it uses less digits than its factorization.

5208169451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 5208169451520 in words is "five trillion, two hundred eight billion, one hundred sixty-nine million, four hundred fifty-one thousand, five hundred twenty".