23006767083120 has 320 divisors, whose sum is σ = 82392106865280. Its totient is φ = 5969321671680.

The previous prime is 23006767083119. The next prime is 23006767083143. The reversal of 23006767083120 is 2138076760032.

It is a super-2 number, since 2×23006767083120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4696530 + ... + 8250510.

It is an arithmetic number, because the mean of its divisors is an integer number (257475333954).

Almost surely, 2^{23006767083120} is an apocalyptic number.

23006767083120 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 23006767083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41196053432640).

23006767083120 is an abundant number, since it is smaller than the sum of its proper divisors (59385339782160).

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

23006767083120 is an equidigital number, since it uses as much as digits as its factorization.

23006767083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554052 (or 3554028 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 23006767083120 in words is "twenty-three trillion, six billion, seven hundred sixty-seven million, eighty-three thousand, one hundred twenty".