10117139760 has 1440 divisors, whose sum is σ = 47544456960. Its totient is φ = 1975228416.

The previous prime is 10117139729. The next prime is 10117139761. The reversal of 10117139760 is 6793171101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117139761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235282299 + ... + 235282341.

It is an arithmetic number, because the mean of its divisors is an integer number (33016984).

Almost surely, 2^10117139760 is an apocalyptic number.

10117139760 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 10117139760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772228480).

10117139760 is an abundant number, since it is smaller than the sum of its proper divisors (37427317200).

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

10117139760 is a wasteful number, since it uses less digits than its factorization.

10117139760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 10117139760 in words is "ten billion, one hundred seventeen million, one hundred thirty-nine thousand, seven hundred sixty".