23219245420800 has 3456 divisors, whose sum is σ = 100558363852800. Its totient is φ = 4632477696000.

The previous prime is 23219245420757. The next prime is 23219245420837. The reversal of 23219245420800 is 802454291232.

It is a super-2 number, since 2×23219245420800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56770770996 + ... + 56770771404.

It is an arithmetic number, because the mean of its divisors is an integer number (29096748800).

Almost surely, 2^{23219245420800} is an apocalyptic number.

23219245420800 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 23219245420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279181926400).

23219245420800 is an abundant number, since it is smaller than the sum of its proper divisors (77339118432000).

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

23219245420800 is a wasteful number, since it uses less digits than its factorization.

23219245420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 23219245420800 in words is "twenty-three trillion, two hundred nineteen billion, two hundred forty-five million, four hundred twenty thousand, eight hundred".