23124460672800 has 864 divisors, whose sum is σ = 88440265210752. Its totient is φ = 5884986286080.

The previous prime is 23124460672769. The next prime is 23124460672829. The reversal of 23124460672800 is 827606442132.

It is a happy number.

23124460672800 is a `hidden beast` number, since 2 + 3 + 12 + 4 + 4 + 606 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2043332742 + ... + 2043344058.

It is an arithmetic number, because the mean of its divisors is an integer number (102361418068).

Almost surely, 2^{23124460672800} is an apocalyptic number.

23124460672800 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 23124460672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220132605376).

23124460672800 is an abundant number, since it is smaller than the sum of its proper divisors (65315804537952).

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

23124460672800 is a wasteful number, since it uses less digits than its factorization.

23124460672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23124460672800 in words is "twenty-three trillion, one hundred twenty-four billion, four hundred sixty million, six hundred seventy-two thousand, eight hundred".