10117516032 has 288 divisors, whose sum is σ = 32547838400. Its totient is φ = 3081535488.

The previous prime is 10117515997. The next prime is 10117516039. The reversal of 10117516032 is 23061571101.

10117516032 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 7 + 51 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10117515987 and 10117516005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117516039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9793788 + ... + 9794820.

Almost surely, 2^10117516032 is an apocalyptic number.

10117516032 is a gapful number since it is divisible by the number (12) 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 10117516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273919200).

10117516032 is an abundant number, since it is smaller than the sum of its proper divisors (22430322368).

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

10117516032 is a wasteful number, since it uses less digits than its factorization.

10117516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10117516032 in words is "ten billion, one hundred seventeen million, five hundred sixteen thousand, thirty-two".