23689635840000 has 1875 divisors, whose sum is σ = 95809247935247. Its totient is φ = 5831294976000.

The previous prime is 23689635839981. The next prime is 23689635840023. The reversal of 23689635840000 is 4853698632.

The square root of 23689635840000 is 4867200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 5560843124736 + 18128792715264 = 2358144^2 + 4257792^2 .

It is a tau number, because it is divible by the number of its divisors (1875).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1560.

It is a super-2 number, since 2×23689635840000² (a number of 28 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 40560 × 15600 × 37440.

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 1822279679994 + ... + 1822279680006.

Almost surely, 2^{23689635840000} is an apocalyptic number.

23689635840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23689635840000 is the 4867200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23689635840000

23689635840000 is an abundant number, since it is smaller than the sum of its proper divisors (72119612095247).

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

23689635840000 is an frugal number, since it uses more digits than its factorization.

23689635840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23689635840000 in words is "twenty-three trillion, six hundred eighty-nine billion, six hundred thirty-five million, eight hundred forty thousand".