23012729856000 has 1344 divisors, whose sum is σ = 89799252431616. Its totient is φ = 5868453888000.

The previous prime is 23012729855963. The next prime is 23012729856019. The reversal of 23012729856000 is 65892721032.

23012729856000 is a `hidden beast` number, since 2 + 3 + 0 + 12 + 7 + 29 + 8 + 5 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5723133990 + ... + 5723138010.

It is an arithmetic number, because the mean of its divisors is an integer number (66814919964).

Almost surely, 2^{23012729856000} is an apocalyptic number.

23012729856000 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 23012729856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44899626215808).

23012729856000 is an abundant number, since it is smaller than the sum of its proper divisors (66786522575616).

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

23012729856000 is an frugal number, since it uses more digits than its factorization.

23012729856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23012729856000 in words is "twenty-three trillion, twelve billion, seven hundred twenty-nine million, eight hundred fifty-six thousand".