6553338821010 has 128 divisors (see below), whose sum is σ = 17533174763520. Its totient is φ = 1741799505600.

The previous prime is 6553338821009. The next prime is 6553338821039. The reversal of 6553338821010 is 101288333556.

6553338821010 is a `hidden beast` number, since 6 + 5 + 53 + 3 + 388 + 210 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427449045 + ... + 427464375.

It is an arithmetic number, because the mean of its divisors is an integer number (136977927840).

Almost surely, 2^{6553338821010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6553338821010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766587381760).

6553338821010 is an abundant number, since it is smaller than the sum of its proper divisors (10979835942510).

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

6553338821010 is a wasteful number, since it uses less digits than its factorization.

6553338821010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20461 (or 20455 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6553338821010 in words is "six trillion, five hundred fifty-three billion, three hundred thirty-eight million, eight hundred twenty-one thousand, ten".