23288613120 has 432 divisors, whose sum is σ = 85723397760. Its totient is φ = 5820678144.

The previous prime is 23288613119. The next prime is 23288613143. The reversal of 23288613120 is 2131688232.

23288613120 is a `hidden beast` number, since 2 + 3 + 28 + 8 + 613 + 12 + 0 = 666.

It is a super-2 number, since 2×23288613120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22544124 + ... + 22545156.

Almost surely, 2^23288613120 is an apocalyptic number.

23288613120 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 23288613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42861698880).

23288613120 is an abundant number, since it is smaller than the sum of its proper divisors (62434784640).

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

23288613120 is a wasteful number, since it uses less digits than its factorization.

23288613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23288613120 in words is "twenty-three billion, two hundred eighty-eight million, six hundred thirteen thousand, one hundred twenty".