10023858432 has 576 divisors, whose sum is σ = 36042424320. Its totient is φ = 2687385600.

The previous prime is 10023858389. The next prime is 10023858437. The reversal of 10023858432 is 23485832001.

10023858432 is a `hidden beast` number, since 10 + 0 + 2 + 38 + 584 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (10023858437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61495983 + ... + 61496145.

Almost surely, 2^10023858432 is an apocalyptic number.

10023858432 is a gapful number since it is divisible by the number (12) 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 10023858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021212160).

10023858432 is an abundant number, since it is smaller than the sum of its proper divisors (26018565888).

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

10023858432 is a wasteful number, since it uses less digits than its factorization.

10023858432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10023858432 in words is "ten billion, twenty-three million, eight hundred fifty-eight thousand, four hundred thirty-two".