23187438630720 has 4032 divisors, whose sum is σ = 111633997305600. Its totient is φ = 4499758448640.

The previous prime is 23187438630677. The next prime is 23187438630737. The reversal of 23187438630720 is 2703683478132.

23187438630720 is a `hidden beast` number, since 2 + 3 + 1 + 87 + 438 + 63 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 50298131290 + ... + 50298131750.

It is an arithmetic number, because the mean of its divisors is an integer number (27687003300).

Almost surely, 2^{23187438630720} is an apocalyptic number.

23187438630720 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 23187438630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55816998652800).

23187438630720 is an abundant number, since it is smaller than the sum of its proper divisors (88446558674880).

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

23187438630720 is a wasteful number, since it uses less digits than its factorization.

23187438630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 23187438630720 in words is "twenty-three trillion, one hundred eighty-seven billion, four hundred thirty-eight million, six hundred thirty thousand, seven hundred twenty".