9380953080576 has 2304 divisors, whose sum is σ = 37261085245440. Its totient is φ = 2276215603200.

The previous prime is 9380953080557. The next prime is 9380953080581. The reversal of 9380953080576 is 6750803590839.

9380953080576 is a `hidden beast` number, since 9 + 3 + 8 + 0 + 9 + 53 + 0 + 8 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73865772225 + ... + 73865772351.

Almost surely, 2^{9380953080576} is an apocalyptic number.

9380953080576 is a gapful number since it is divisible by the number (96) 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 9380953080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630542622720).

9380953080576 is an abundant number, since it is smaller than the sum of its proper divisors (27880132164864).

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

9380953080576 is a wasteful number, since it uses less digits than its factorization.

9380953080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 9380953080576 in words is "nine trillion, three hundred eighty billion, nine hundred fifty-three million, eighty thousand, five hundred seventy-six".