23505204524040 has 256 divisors, whose sum is σ = 79572008908800. Its totient is φ = 6170470555392.

The previous prime is 23505204523981. The next prime is 23505204524051. The reversal of 23505204524040 is 4042540250532.

23505204524040 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 520 + 4 + 52 + 40 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23505204523986 and 23505204524004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111546219 + ... + 111756741.

It is an arithmetic number, because the mean of its divisors is an integer number (310828159800).

Almost surely, 2^{23505204524040} is an apocalyptic number.

23505204524040 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 23505204524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39786004454400).

23505204524040 is an abundant number, since it is smaller than the sum of its proper divisors (56066804384760).

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

23505204524040 is a wasteful number, since it uses less digits than its factorization.

23505204524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212153 (or 212143 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 23505204524040 its reverse (4042540250532), we get a palindrome (27547744774572).

The spelling of 23505204524040 in words is "twenty-three trillion, five hundred five billion, two hundred four million, five hundred twenty-four thousand, forty".