10604322220800 has 1296 divisors, whose sum is σ = 44554176600192. Its totient is φ = 2196401356800.

The previous prime is 10604322220783. The next prime is 10604322220829. The reversal of 10604322220800 is 802222340601.

It is a super-2 number, since 2×10604322220800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3591032124 + ... + 3591035076.

Almost surely, 2^{10604322220800} is an apocalyptic number.

10604322220800 is a gapful number since it is divisible by the number (10) 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 10604322220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277088300096).

10604322220800 is an abundant number, since it is smaller than the sum of its proper divisors (33949854379392).

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

10604322220800 is a wasteful number, since it uses less digits than its factorization.

10604322220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10604322220800 in words is "ten trillion, six hundred four billion, three hundred twenty-two million, two hundred twenty thousand, eight hundred".