10217787793408 has 112 divisors (see below), whose sum is σ = 22334666044320. Its totient is φ = 4645512216576.

The previous prime is 10217787793373. The next prime is 10217787793417. The reversal of 10217787793408 is 80439778771201.

It is a super-2 number, since 2×10217787793408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10217787793408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6419223 + ... + 7851241.

It is an arithmetic number, because the mean of its divisors is an integer number (199416661110).

Almost surely, 2^{10217787793408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10217787793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167333022160).

10217787793408 is an abundant number, since it is smaller than the sum of its proper divisors (12116878250912).

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

10217787793408 is an equidigital number, since it uses as much as digits as its factorization.

10217787793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432125 (or 1432101 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 64.

The spelling of 10217787793408 in words is "ten trillion, two hundred seventeen billion, seven hundred eighty-seven million, seven hundred ninety-three thousand, four hundred eight".