23057768448000 has 2720 divisors, whose sum is σ = 101418151266432. Its totient is φ = 5159780352000.

The previous prime is 23057768447981. The next prime is 23057768448047. The reversal of 23057768448000 is 84486775032.

23057768448000 is a `hidden beast` number, since 2 + 3 + 0 + 577 + 68 + 4 + 4 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1773674495994 + ... + 1773674496006.

Almost surely, 2^{23057768448000} is an apocalyptic number.

23057768448000 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 23057768448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50709075633216).

23057768448000 is an abundant number, since it is smaller than the sum of its proper divisors (78360382818432).

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

23057768448000 is an frugal number, since it uses more digits than its factorization.

23057768448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 23057768448000 in words is "twenty-three trillion, fifty-seven billion, seven hundred sixty-eight million, four hundred forty-eight thousand".