5251668889104 has 405 divisors, whose sum is σ = 16801592825199. Its totient is φ = 1588939830720.

The previous prime is 5251668889097. The next prime is 5251668889147. The reversal of 5251668889104 is 4019888661525.

The square root of 5251668889104 is 2291652.

It is a perfect power (a square), and thus also a powerful number.

5251668889104 is a `hidden beast` number, since 5 + 2 + 516 + 6 + 8 + 8 + 8 + 9 + 104 = 666.

It is a super-2 number, since 2×5251668889104² (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 80 ways as a sum of consecutive naturals, for example, 8167447407 + ... + 8167448049.

Almost surely, 2^{5251668889104} is an apocalyptic number.

5251668889104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5251668889104 is the 2291652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5251668889104

5251668889104 is an abundant number, since it is smaller than the sum of its proper divisors (11549923936095).

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

5251668889104 is an frugal number, since it uses more digits than its factorization.

5251668889104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 5251668889104 in words is "five trillion, two hundred fifty-one billion, six hundred sixty-eight million, eight hundred eighty-nine thousand, one hundred four".