23070416785920 has 800 divisors, whose sum is σ = 94488249829248. Its totient is φ = 5270285647872.

The previous prime is 23070416785907. The next prime is 23070416785987. The reversal of 23070416785920 is 2958761407032.

It is a happy number.

23070416785920 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 0 + 41 + 6 + 7 + 8 + 592 + 0 = 666.

It is a super-2 number, since 2×23070416785920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3589605747 + ... + 3589612173.

It is a 1-persistent number, because it is pandigital, but 2⋅23070416785920 = 46140833571840 is not.

Almost surely, 2^{23070416785920} is an apocalyptic number.

23070416785920 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 23070416785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47244124914624).

23070416785920 is an abundant number, since it is smaller than the sum of its proper divisors (71417833043328).

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

23070416785920 is an equidigital number, since it uses as much as digits as its factorization.

23070416785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 23070416785920 in words is "twenty-three trillion, seventy billion, four hundred sixteen million, seven hundred eighty-five thousand, nine hundred twenty".