9695468113920 has 1248 divisors, whose sum is σ = 36763724275200. Its totient is φ = 2354048925696.

The previous prime is 9695468113889. The next prime is 9695468113957. The reversal of 9695468113920 is 293118645969.

9695468113920 is a `hidden beast` number, since 9 + 6 + 9 + 546 + 81 + 1 + 3 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13119712911 + ... + 13119713649.

It is an arithmetic number, because the mean of its divisors is an integer number (29458112400).

Almost surely, 2^{9695468113920} is an apocalyptic number.

9695468113920 is a gapful number since it is divisible by the number (90) 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 9695468113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381862137600).

9695468113920 is an abundant number, since it is smaller than the sum of its proper divisors (27068256161280).

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

9695468113920 is a wasteful number, since it uses less digits than its factorization.

9695468113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 9695468113920 in words is "nine trillion, six hundred ninety-five billion, four hundred sixty-eight million, one hundred thirteen thousand, nine hundred twenty".