23564252789000 has 2048 divisors, whose sum is σ = 81497954304000. Its totient is φ = 6145155072000.

The previous prime is 23564252788987. The next prime is 23564252789009. The reversal of 23564252789000 is 98725246532.

It is not an unprimeable number, because it can be changed into a prime (23564252789009) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 26686582559 + ... + 26686583441.

It is an arithmetic number, because the mean of its divisors is an integer number (39793923000).

Almost surely, 2^{23564252789000} is an apocalyptic number.

23564252789000 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 23564252789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40748977152000).

23564252789000 is an abundant number, since it is smaller than the sum of its proper divisors (57933701515000).

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

23564252789000 is a wasteful number, since it uses less digits than its factorization.

23564252789000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 23564252789000 in words is "twenty-three trillion, five hundred sixty-four billion, two hundred fifty-two million, seven hundred eighty-nine thousand".