23479142887200 has 1728 divisors, whose sum is σ = 106958071745280. Its totient is φ = 4348057190400.

The previous prime is 23479142887157. The next prime is 23479142887231. The reversal of 23479142887200 is 278824197432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 766350282 + ... + 766380918.

It is an arithmetic number, because the mean of its divisors is an integer number (61897032260).

Almost surely, 2^{23479142887200} is an apocalyptic number.

23479142887200 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 23479142887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53479035872640).

23479142887200 is an abundant number, since it is smaller than the sum of its proper divisors (83478928858080).

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

23479142887200 is a wasteful number, since it uses less digits than its factorization.

23479142887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30731 (or 30707 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

It can be divided in two parts, 23479142 and 887200, that added together give a palindrome (24366342).

The spelling of 23479142887200 in words is "twenty-three trillion, four hundred seventy-nine billion, one hundred forty-two million, eight hundred eighty-seven thousand, two hundred".