24128100000 has 864 divisors, whose sum is σ = 96738183360. Its totient is φ = 5667840000.

The previous prime is 24128099999. The next prime is 24128100013. The reversal of 24128100000 is 182142.

It is a super-2 number, since 2×24128100000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290699959 + ... + 290700041.

It is an arithmetic number, because the mean of its divisors is an integer number (111965490).

Almost surely, 2^24128100000 is an apocalyptic number.

24128100000 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 24128100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48369091680).

24128100000 is an abundant number, since it is smaller than the sum of its proper divisors (72610083360).

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

24128100000 is a wasteful number, since it uses less digits than its factorization.

24128100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 24128100000 its reverse (182142), we get a palindrome (24128282142).

The spelling of 24128100000 in words is "twenty-four billion, one hundred twenty-eight million, one hundred thousand".