23265602708400 has 1440 divisors, whose sum is σ = 97299149330880. Its totient is φ = 5244024913920.

The previous prime is 23265602708393. The next prime is 23265602708483. The reversal of 23265602708400 is 480720656232.

23265602708400 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 560 + 2 + 7 + 0 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1501289452 + ... + 1501304948.

It is an arithmetic number, because the mean of its divisors is an integer number (67568853702).

Almost surely, 2^{23265602708400} is an apocalyptic number.

23265602708400 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 23265602708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48649574665440).

23265602708400 is an abundant number, since it is smaller than the sum of its proper divisors (74033546622480).

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

23265602708400 is a wasteful number, since it uses less digits than its factorization.

23265602708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 23265602708400 in words is "twenty-three trillion, two hundred sixty-five billion, six hundred two million, seven hundred eight thousand, four hundred".