10234486080 has 560 divisors, whose sum is σ = 44817548160. Its totient is φ = 2158866432.

The previous prime is 10234486079. The next prime is 10234486099. The reversal of 10234486080 is 8068443201.

10234486080 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 48 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

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 79 ways as a sum of consecutive naturals, for example, 2356551 + ... + 2360889.

It is an arithmetic number, because the mean of its divisors is an integer number (80031336).

Almost surely, 2^10234486080 is an apocalyptic number.

10234486080 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 10234486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408774080).

10234486080 is an abundant number, since it is smaller than the sum of its proper divisors (34583062080).

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

10234486080 is a wasteful number, since it uses less digits than its factorization.

10234486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10234486080 in words is "ten billion, two hundred thirty-four million, four hundred eighty-six thousand, eighty".