9753893925264 has 240 divisors, whose sum is σ = 29851686101952. Its totient is φ = 2960944422912.

The previous prime is 9753893925253. The next prime is 9753893925283. The reversal of 9753893925264 is 4625293983579.

9753893925264 is a `hidden beast` number, since 9 + 7 + 5 + 3 + 8 + 9 + 3 + 92 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9753893925192 and 9753893925201.

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, 10830252 + ... + 11696244.

Almost surely, 2^{9753893925264} 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 9753893925264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925843050976).

9753893925264 is an abundant number, since it is smaller than the sum of its proper divisors (20097792176688).

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

9753893925264 is a wasteful number, since it uses less digits than its factorization.

9753893925264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866174 (or 866165 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 9753893925264 in words is "nine trillion, seven hundred fifty-three billion, eight hundred ninety-three million, nine hundred twenty-five thousand, two hundred sixty-four".