23215456000 has 288 divisors, whose sum is σ = 63812339136. Its totient is φ = 8345600000.

The previous prime is 23215455941. The next prime is 23215456027. The reversal of 23215456000 is 65451232.

It is a self number, because there is not a number n which added to its sum of digits gives 23215456000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35551674 + ... + 35552326.

It is an arithmetic number, because the mean of its divisors is an integer number (221570622).

Almost surely, 2^23215456000 is an apocalyptic number.

23215456000 is a gapful number since it is divisible by the number (20) 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 23215456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31906169568).

23215456000 is an abundant number, since it is smaller than the sum of its proper divisors (40596883136).

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

23215456000 is a wasteful number, since it uses less digits than its factorization.

23215456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 23215456000 in words is "twenty-three billion, two hundred fifteen million, four hundred fifty-six thousand".