5525067871872 has 288 divisors, whose sum is σ = 16789894954560. Its totient is φ = 1743707520000.

The previous prime is 5525067871867. The next prime is 5525067871903. The reversal of 5525067871872 is 2781787605255.

5525067871872 is a `hidden beast` number, since 5 + 52 + 506 + 7 + 8 + 7 + 1 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 977712247 + ... + 977717897.

It is an arithmetic number, because the mean of its divisors is an integer number (58298246370).

Almost surely, 2^{5525067871872} 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 5525067871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394947477280).

5525067871872 is an abundant number, since it is smaller than the sum of its proper divisors (11264827082688).

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

5525067871872 is a wasteful number, since it uses less digits than its factorization.

5525067871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 5525067871872 in words is "five trillion, five hundred twenty-five billion, sixty-seven million, eight hundred seventy-one thousand, eight hundred seventy-two".