10651233322400 has 144 divisors (see below), whose sum is σ = 28445193766080. Its totient is φ = 3862385817600.

The previous prime is 10651233322361. The next prime is 10651233322423. The reversal of 10651233322400 is 422333215601.

It is a super-2 number, since 2×10651233322400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473452 + ... + 4844948.

It is an arithmetic number, because the mean of its divisors is an integer number (197536067820).

Almost surely, 2^{10651233322400} is an apocalyptic number.

10651233322400 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 10651233322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222596883040).

10651233322400 is an abundant number, since it is smaller than the sum of its proper divisors (17793960443680).

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

10651233322400 is a wasteful number, since it uses less digits than its factorization.

10651233322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371887 (or 3371874 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 10651233322400 in words is "ten trillion, six hundred fifty-one billion, two hundred thirty-three million, three hundred twenty-two thousand, four hundred".