23661240892560 has 640 divisors, whose sum is σ = 83813055621120. Its totient is φ = 6133211136000.

The previous prime is 23661240892559. The next prime is 23661240892577. The reversal of 23661240892560 is 6529804216632.

23661240892560 is a `hidden beast` number, since 2 + 3 + 66 + 12 + 4 + 0 + 8 + 9 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23661240892497 and 23661240892506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16627716009 + ... + 16627717431.

It is an arithmetic number, because the mean of its divisors is an integer number (130957899408).

Almost surely, 2^{23661240892560} is an apocalyptic number.

23661240892560 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 23661240892560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41906527810560).

23661240892560 is an abundant number, since it is smaller than the sum of its proper divisors (60151814728560).

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

23661240892560 is a wasteful number, since it uses less digits than its factorization.

23661240892560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23661240892560 in words is "twenty-three trillion, six hundred sixty-one billion, two hundred forty million, eight hundred ninety-two thousand, five hundred sixty".