23557688675532 has 144 divisors (see below), whose sum is σ = 66395735078400. Its totient is φ = 6982855632000.

The previous prime is 23557688675527. The next prime is 23557688675567.

23557688675532 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 7 + 6 + 8 + 8 + 67 + 553 + 2 = 666.

23557688675532 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×23557688675532³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228532 + ... + 6867867.

It is an arithmetic number, because the mean of its divisors is an integer number (461081493600).

Almost surely, 2^{23557688675532} is an apocalyptic number.

23557688675532 is a gapful number since it is divisible by the number (22) 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 23557688675532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33197867539200).

23557688675532 is an abundant number, since it is smaller than the sum of its proper divisors (42838046402868).

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

23557688675532 is a wasteful number, since it uses less digits than its factorization.

23557688675532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096604 (or 7096599 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 72.

The spelling of 23557688675532 in words is "twenty-three trillion, five hundred fifty-seven billion, six hundred eighty-eight million, six hundred seventy-five thousand, five hundred thirty-two".