5529138685200 has 360 divisors, whose sum is σ = 20669386657920. Its totient is φ = 1360638950400.

The previous prime is 5529138685181. The next prime is 5529138685247. The reversal of 5529138685200 is 25868319255.

It is a happy number.

5529138685200 is a `hidden beast` number, since 5 + 5 + 29 + 1 + 38 + 68 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191444361 + ... + 191473239.

Almost surely, 2^{5529138685200} is an apocalyptic number.

5529138685200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5529138685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334693328960).

5529138685200 is an abundant number, since it is smaller than the sum of its proper divisors (15140247972720).

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

5529138685200 is a wasteful number, since it uses less digits than its factorization.

5529138685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33007 (or 32993 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5529138685200 in words is "five trillion, five hundred twenty-nine billion, one hundred thirty-eight million, six hundred eighty-five thousand, two hundred".