23730585216 has 192 divisors, whose sum is σ = 70108002720. Its totient is φ = 7103655936.

The previous prime is 23730585199. The next prime is 23730585233. The reversal of 23730585216 is 61258503732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23730585199) and next prime (23730585233).

It is a tau number, because it is divible by the number of its divisors (192).

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, 2396211 + ... + 2406093.

Almost surely, 2^23730585216 is an apocalyptic number.

23730585216 is a gapful number since it is divisible by the number (26) 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 23730585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054001360).

23730585216 is an abundant number, since it is smaller than the sum of its proper divisors (46377417504).

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

23730585216 is a wasteful number, since it uses less digits than its factorization.

23730585216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9938 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 23730585216 in words is "twenty-three billion, seven hundred thirty million, five hundred eighty-five thousand, two hundred sixteen".