10117390509056 has 176 divisors, whose sum is σ = 21819415938048. Its totient is φ = 4675271884800.

The previous prime is 10117390509053. The next prime is 10117390509059. The reversal of 10117390509056 is 65090509371101.

It is an interprime number because it is at equal distance from previous prime (10117390509053) and next prime (10117390509059).

It is a super-2 number, since 2×10117390509056² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10117390509056.

It is not an unprimeable number, because it can be changed into a prime (10117390509053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 476752526 + ... + 476773746.

Almost surely, 2^{10117390509056} is an apocalyptic number.

10117390509056 is a gapful number since it is divisible by the number (16) 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 10117390509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909707969024).

10117390509056 is an abundant number, since it is smaller than the sum of its proper divisors (11702025428992).

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

10117390509056 is a wasteful number, since it uses less digits than its factorization.

10117390509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21948 (or 21930 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 47.

The spelling of 10117390509056 in words is "ten trillion, one hundred seventeen billion, three hundred ninety million, five hundred nine thousand, fifty-six".