23079461256000 has 672 divisors, whose sum is σ = 87480358318080. Its totient is φ = 5788194816000.

The previous prime is 23079461255989. The next prime is 23079461256029. The reversal of 23079461256000 is 65216497032.

23079461256000 is a `hidden beast` number, since 2 + 3 + 0 + 79 + 4 + 6 + 12 + 560 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1849457761 + ... + 1849470239.

It is an arithmetic number, because the mean of its divisors is an integer number (130179104640).

Almost surely, 2^{23079461256000} is an apocalyptic number.

23079461256000 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 23079461256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43740179159040).

23079461256000 is an abundant number, since it is smaller than the sum of its proper divisors (64400897062080).

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

23079461256000 is a wasteful number, since it uses less digits than its factorization.

23079461256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 23079461256000 in words is "twenty-three trillion, seventy-nine billion, four hundred sixty-one million, two hundred fifty-six thousand".