10123593984 has 216 divisors, whose sum is σ = 35115429440. Its totient is φ = 2740137984.

The previous prime is 10123593923. The next prime is 10123594009. The reversal of 10123593984 is 48939532101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289914 + ... + 322950.

Almost surely, 2^10123593984 is an apocalyptic number.

10123593984 is a gapful number since it is divisible by the number (14) 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 10123593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557714720).

10123593984 is an abundant number, since it is smaller than the sum of its proper divisors (24991835456).

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

10123593984 is a wasteful number, since it uses less digits than its factorization.

10123593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33085 (or 33068 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10123593984 in words is "ten billion, one hundred twenty-three million, five hundred ninety-three thousand, nine hundred eighty-four".