10073422216000 has 448 divisors, whose sum is σ = 31032233616384. Its totient is φ = 3182383104000.

The previous prime is 10073422215943. The next prime is 10073422216031. The reversal of 10073422216000 is 61222437001.

It is a self number, because there is not a number n which added to its sum of digits gives 10073422216000.

It is a congruent number.

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, 19189017 + ... + 19706983.

It is an arithmetic number, because the mean of its divisors is an integer number (69268378608).

Almost surely, 2^{10073422216000} is an apocalyptic number.

10073422216000 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 10073422216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516116808192).

10073422216000 is an abundant number, since it is smaller than the sum of its proper divisors (20958811400384).

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

10073422216000 is a wasteful number, since it uses less digits than its factorization.

10073422216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518035 (or 518015 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10073422216000 in words is "ten trillion, seventy-three billion, four hundred twenty-two million, two hundred sixteen thousand".