5530802558400 has 2688 divisors, whose sum is σ = 24839005440000. Its totient is φ = 1194891264000.

The previous prime is 5530802558389. The next prime is 5530802558401. The reversal of 5530802558400 is 48552080355.

5530802558400 is a `hidden beast` number, since 5 + 53 + 0 + 8 + 0 + 2 + 558 + 40 + 0 = 666.

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 (5530802558401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26212334295 + ... + 26212334505.

Almost surely, 2^{5530802558400} is an apocalyptic number.

5530802558400 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 5530802558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419502720000).

5530802558400 is an abundant number, since it is smaller than the sum of its proper divisors (19308202881600).

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

5530802558400 is a wasteful number, since it uses less digits than its factorization.

5530802558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 5530802558400 in words is "five trillion, five hundred thirty billion, eight hundred two million, five hundred fifty-eight thousand, four hundred".