9516193920 has 192 divisors, whose sum is σ = 32947387200. Its totient is φ = 2530953216.

The previous prime is 9516193913. The next prime is 9516193987. The reversal of 9516193920 is 293916159.

It is a happy number.

9516193920 is a `hidden beast` number, since 9 + 5 + 1 + 619 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2411469 + ... + 2415411.

It is an arithmetic number, because the mean of its divisors is an integer number (171600975).

Almost surely, 2^9516193920 is an apocalyptic number.

9516193920 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 9516193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473693600).

9516193920 is an abundant number, since it is smaller than the sum of its proper divisors (23431193280).

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

9516193920 is a wasteful number, since it uses less digits than its factorization.

9516193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 9516193920 is about 97550.9811329440. The cubic root of 9516193920 is about 2119.1145228143.

The spelling of 9516193920 in words is "nine billion, five hundred sixteen million, one hundred ninety-three thousand, nine hundred twenty".