23093601862800 has 1440 divisors, whose sum is σ = 94395680861184. Its totient is φ = 4790403072000.

The previous prime is 23093601862759. The next prime is 23093601862843. The reversal of 23093601862800 is 826810639032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23093601862800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9699117610 + ... + 9699119990.

Almost surely, 2^{23093601862800} is an apocalyptic number.

23093601862800 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 23093601862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47197840430592).

23093601862800 is an abundant number, since it is smaller than the sum of its proper divisors (71302078998384).

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

23093601862800 is a wasteful number, since it uses less digits than its factorization.

23093601862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 23093601862800 in words is "twenty-three trillion, ninety-three billion, six hundred one million, eight hundred sixty-two thousand, eight hundred".