23012168272800 has 1728 divisors, whose sum is σ = 95073664896000. Its totient is φ = 4819191552000.

The previous prime is 23012168272771. The next prime is 23012168272829. The reversal of 23012168272800 is 827286121032.

It is an interprime number because it is at equal distance from previous prime (23012168272771) and next prime (23012168272829).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15030808035 + ... + 15030809565.

It is an arithmetic number, because the mean of its divisors is an integer number (55019482000).

Almost surely, 2^{23012168272800} is an apocalyptic number.

23012168272800 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 23012168272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47536832448000).

23012168272800 is an abundant number, since it is smaller than the sum of its proper divisors (72061496623200).

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

23012168272800 is a wasteful number, since it uses less digits than its factorization.

23012168272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 23012168272800 in words is "twenty-three trillion, twelve billion, one hundred sixty-eight million, two hundred seventy-two thousand, eight hundred".