5526402626000 has 80 divisors (see below), whose sum is σ = 13369985071248. Its totient is φ = 2209379328000.

The previous prime is 5526402625969. The next prime is 5526402626009. The reversal of 5526402626000 is 6262046255.

It can be written as a sum of positive squares in 8 ways, for example, as 4038910167616 + 1487492458384 = 2009704^2 + 1219628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5526402626000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5526402626009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3008360 + ... + 4483640.

Almost surely, 2^{5526402626000} is an apocalyptic number.

5526402626000 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 5526402626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684992535624).

5526402626000 is an abundant number, since it is smaller than the sum of its proper divisors (7843582445248).

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

5526402626000 is a wasteful number, since it uses less digits than its factorization.

5526402626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477177 (or 1477161 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 5526402626000 in words is "five trillion, five hundred twenty-six billion, four hundred two million, six hundred twenty-six thousand".