23335762728960 has 1920 divisors, whose sum is σ = 96827682631680. Its totient is φ = 5319563673600.

The previous prime is 23335762728917. The next prime is 23335762729079. The reversal of 23335762728960 is 6982726753332.

It is a happy number.

23335762728960 is a `hidden beast` number, since 2 + 3 + 3 + 357 + 6 + 272 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12800746609 + ... + 12800748431.

It is an arithmetic number, because the mean of its divisors is an integer number (50431084704).

Almost surely, 2^{23335762728960} is an apocalyptic number.

23335762728960 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 23335762728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48413841315840).

23335762728960 is an abundant number, since it is smaller than the sum of its proper divisors (73491919902720).

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

23335762728960 is a wasteful number, since it uses less digits than its factorization.

23335762728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 23335762728960 in words is "twenty-three trillion, three hundred thirty-five billion, seven hundred sixty-two million, seven hundred twenty-eight thousand, nine hundred sixty".