10093183680 has 224 divisors, whose sum is σ = 32575463424. Its totient is φ = 2647425024.

The previous prime is 10093183673. The next prime is 10093183687. The reversal of 10093183680 is 8638139001.

It is an interprime number because it is at equal distance from previous prime (10093183673) and next prime (10093183687).

It is not an unprimeable number, because it can be changed into a prime (10093183687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26352769 + ... + 26353151.

It is an arithmetic number, because the mean of its divisors is an integer number (145426176).

Almost surely, 2^10093183680 is an apocalyptic number.

10093183680 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 10093183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287731712).

10093183680 is an abundant number, since it is smaller than the sum of its proper divisors (22482279744).

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

10093183680 is a wasteful number, since it uses less digits than its factorization.

10093183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10093183680 in words is "ten billion, ninety-three million, one hundred eighty-three thousand, six hundred eighty".