23572325205000 has 2880 divisors, whose sum is σ = 105353148700800. Its totient is φ = 4698777600000.

The previous prime is 23572325204971. The next prime is 23572325205001. The reversal of 23572325205000 is 50252327532.

23572325205000 is a `hidden beast` number, since 2 + 3 + 5 + 72 + 32 + 52 + 0 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23572325205001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 22863554485 + ... + 22863555515.

It is an arithmetic number, because the mean of its divisors is an integer number (36580954410).

Almost surely, 2^{23572325205000} is an apocalyptic number.

23572325205000 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 23572325205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52676574350400).

23572325205000 is an abundant number, since it is smaller than the sum of its proper divisors (81780823495800).

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

23572325205000 is a wasteful number, since it uses less digits than its factorization.

23572325205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 23572325205000 in words is "twenty-three trillion, five hundred seventy-two billion, three hundred twenty-five million, two hundred five thousand".