11417537920 has 64 divisors (see below), whose sum is σ = 27446131440. Its totient is φ = 4541736960.

The previous prime is 11417537899. The next prime is 11417537921. The reversal of 11417537920 is 2973571411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11417537921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66559 + ... + 165121.

Almost surely, 2^11417537920 is an apocalyptic number.

11417537920 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 11417537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723065720).

11417537920 is an abundant number, since it is smaller than the sum of its proper divisors (16028593520).

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

11417537920 is an equidigital number, since it uses as much as digits as its factorization.

11417537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98763 (or 98751 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 11417537920 in words is "eleven billion, four hundred seventeen million, five hundred thirty-seven thousand, nine hundred twenty".