23135266953792 has 336 divisors, whose sum is σ = 79167762984960. Its totient is φ = 6315778427904.

The previous prime is 23135266953661. The next prime is 23135266953803. The reversal of 23135266953792 is 29735966253132.

23135266953792 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 5 + 2 + 6 + 6 + 9 + 537 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85088653 + ... + 85360115.

Almost surely, 2^{23135266953792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135266953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39583881492480).

23135266953792 is an abundant number, since it is smaller than the sum of its proper divisors (56032496031168).

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

23135266953792 is a wasteful number, since it uses less digits than its factorization.

23135266953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272430 (or 272417 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 63.

The spelling of 23135266953792 in words is "twenty-three trillion, one hundred thirty-five billion, two hundred sixty-six million, nine hundred fifty-three thousand, seven hundred ninety-two".