10617400000000 has 180 divisors, whose sum is σ = 26518064547744. Its totient is φ = 4246880000000.

The previous prime is 10617399999971. The next prime is 10617400000037. The reversal of 10617400000000 is 471601.

It is a happy number.

It is a super-2 number, since 2×10617400000000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 199973457 + ... + 200026543.

Almost surely, 2^{10617400000000} is an apocalyptic number.

10617400000000 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 10617400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259032273872).

10617400000000 is an abundant number, since it is smaller than the sum of its proper divisors (15900664547744).

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

10617400000000 is an frugal number, since it uses more digits than its factorization.

10617400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53145 (or 53094 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10617400000000 its reverse (471601), we get a palindrome (10617400471601).

The spelling of 10617400000000 in words is "ten trillion, six hundred seventeen billion, four hundred million", and thus it is an aban number.