5522640076800 has 1800 divisors, whose sum is σ = 25963076530560. Its totient is φ = 1087163596800.

The previous prime is 5522640076721. The next prime is 5522640076801. The reversal of 5522640076800 is 86700462255.

5522640076800 is a `hidden beast` number, since 5 + 522 + 6 + 40 + 0 + 7 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5522640076801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290665267191 + ... + 290665267209.

Almost surely, 2^{5522640076800} is an apocalyptic number.

5522640076800 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 5522640076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981538265280).

5522640076800 is an abundant number, since it is smaller than the sum of its proper divisors (20440436453760).

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

5522640076800 is an frugal number, since it uses more digits than its factorization.

5522640076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5522640076800 in words is "five trillion, five hundred twenty-two billion, six hundred forty million, seventy-six thousand, eight hundred".