10117825013088 has 384 divisors, whose sum is σ = 33477897600000. Its totient is φ = 2947130376192.

The previous prime is 10117825013083. The next prime is 10117825013137. The reversal of 10117825013088 is 88031052871101.

10117825013088 is a `hidden beast` number, since 10 + 11 + 78 + 250 + 1 + 308 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117825013083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298540848 + ... + 298574736.

It is an arithmetic number, because the mean of its divisors is an integer number (87182025000).

Almost surely, 2^{10117825013088} is an apocalyptic number.

10117825013088 is a gapful number since it is divisible by the number (18) 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 10117825013088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738948800000).

10117825013088 is an abundant number, since it is smaller than the sum of its proper divisors (23360072586912).

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

10117825013088 is a wasteful number, since it uses less digits than its factorization.

10117825013088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35339 (or 35325 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

Adding to 10117825013088 its reverse (88031052871101), we get a palindrome (98148877884189).

The spelling of 10117825013088 in words is "ten trillion, one hundred seventeen billion, eight hundred twenty-five million, thirteen thousand, eighty-eight".