23809101120 has 1344 divisors, whose sum is σ = 107361386496. Its totient is φ = 4897013760.

The previous prime is 23809101079. The next prime is 23809101149. The reversal of 23809101120 is 2110190832.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×23809101120² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286856599 + ... + 286856681.

It is an arithmetic number, because the mean of its divisors is an integer number (79881984).

Almost surely, 2^23809101120 is an apocalyptic number.

23809101120 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 23809101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53680693248).

23809101120 is an abundant number, since it is smaller than the sum of its proper divisors (83552285376).

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

23809101120 is a wasteful number, since it uses less digits than its factorization.

23809101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 23809101120 its reverse (2110190832), we get a palindrome (25919291952).

The spelling of 23809101120 in words is "twenty-three billion, eight hundred nine million, one hundred one thousand, one hundred twenty".