5502821990400 has 1656 divisors, whose sum is σ = 24340382071200. Its totient is φ = 1183800360960.

The previous prime is 5502821990357. The next prime is 5502821990429. The reversal of 5502821990400 is 40991282055.

It is a happy number.

5502821990400 is a `hidden beast` number, since 5 + 5 + 0 + 28 + 219 + 9 + 0 + 400 = 666.

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

It is a congruent number.

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, 323695411192 + ... + 323695411208.

Almost surely, 2^{5502821990400} is an apocalyptic number.

5502821990400 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 5502821990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170191035600).

5502821990400 is an abundant number, since it is smaller than the sum of its proper divisors (18837560080800).

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

5502821990400 is an frugal number, since it uses more digits than its factorization.

5502821990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5502821990400 in words is "five trillion, five hundred two billion, eight hundred twenty-one million, nine hundred ninety thousand, four hundred".