23207842042560 has 1344 divisors, whose sum is σ = 96810466515840. Its totient is φ = 5217854423040.

The previous prime is 23207842042481. The next prime is 23207842042571. The reversal of 23207842042560 is 6524024870232.

23207842042560 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 7 + 8 + 42 + 0 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 6554034390 + ... + 6554037930.

It is an arithmetic number, because the mean of its divisors is an integer number (72031597110).

Almost surely, 2^{23207842042560} is an apocalyptic number.

23207842042560 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 23207842042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48405233257920).

23207842042560 is an abundant number, since it is smaller than the sum of its proper divisors (73602624473280).

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

23207842042560 is a wasteful number, since it uses less digits than its factorization.

23207842042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 23207842042560 in words is "twenty-three trillion, two hundred seven billion, eight hundred forty-two million, forty-two thousand, five hundred sixty".