10917575040 has 384 divisors, whose sum is σ = 36924824160. Its totient is φ = 2742681600.

The previous prime is 10917575021. The next prime is 10917575041. The reversal of 10917575040 is 4057571901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 10917575040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10917575041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112552272 + ... + 112552368.

Almost surely, 2^10917575040 is an apocalyptic number.

10917575040 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 10917575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18462412080).

10917575040 is an abundant number, since it is smaller than the sum of its proper divisors (26007249120).

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

10917575040 is an equidigital number, since it uses as much as digits as its factorization.

10917575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 10917575040 in words is "ten billion, nine hundred seventeen million, five hundred seventy-five thousand, forty".