23827460447700 has 1152 divisors, whose sum is σ = 96052518912000. Its totient is φ = 4933106841600.

The previous prime is 23827460447699. The next prime is 23827460447717. The reversal of 23827460447700 is 774406472832.

23827460447700 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 74 + 60 + 447 + 70 + 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 383 ways as a sum of consecutive naturals, for example, 7179106641 + ... + 7179109959.

Almost surely, 2^{23827460447700} is an apocalyptic number.

23827460447700 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 23827460447700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48026259456000).

23827460447700 is an abundant number, since it is smaller than the sum of its proper divisors (72225058464300).

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

23827460447700 is a wasteful number, since it uses less digits than its factorization.

23827460447700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 23827460447700 in words is "twenty-three trillion, eight hundred twenty-seven billion, four hundred sixty million, four hundred forty-seven thousand, seven hundred".