23532723486720 has 1920 divisors, whose sum is σ = 104772194150400. Its totient is φ = 4886347382784.

The previous prime is 23532723486683. The next prime is 23532723486803. The reversal of 23532723486720 is 2768432723532.

23532723486720 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 272 + 348 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×23532723486720² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7633058299 + ... + 7633061381.

It is an arithmetic number, because the mean of its divisors is an integer number (54568851120).

Almost surely, 2^{23532723486720} is an apocalyptic number.

23532723486720 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 23532723486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52386097075200).

23532723486720 is an abundant number, since it is smaller than the sum of its proper divisors (81239470663680).

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

23532723486720 is a wasteful number, since it uses less digits than its factorization.

23532723486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 23532723486720 in words is "twenty-three trillion, five hundred thirty-two billion, seven hundred twenty-three million, four hundred eighty-six thousand, seven hundred twenty".