23117322240 has 480 divisors, whose sum is σ = 84765320640. Its totient is φ = 6023282688.

The previous prime is 23117322203. The next prime is 23117322253. The reversal of 23117322240 is 4222371132.

23117322240 is a `hidden beast` number, since 2 + 311 + 7 + 322 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 38983384 + ... + 38983976.

It is an arithmetic number, because the mean of its divisors is an integer number (176594418).

Almost surely, 2^23117322240 is an apocalyptic number.

23117322240 is a gapful number since it is divisible by the number (20) 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 23117322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42382660320).

23117322240 is an abundant number, since it is smaller than the sum of its proper divisors (61647998400).

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

23117322240 is an equidigital number, since it uses as much as digits as its factorization.

23117322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 23117322240 its reverse (4222371132), we get a palindrome (27339693372).

The spelling of 23117322240 in words is "twenty-three billion, one hundred seventeen million, three hundred twenty-two thousand, two hundred forty".