9551585838096 has 125 divisors (see below), whose sum is σ = 27739735419451. Its totient is φ = 3172995523008.

The previous prime is 9551585838077. The next prime is 9551585838131. The reversal of 9551585838096 is 6908385851559.

The square root of 9551585838096 is 3090564.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

9551585838096 is a `hidden beast` number, since 9 + 5 + 5 + 1 + 585 + 8 + 38 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7604556308496 + 1947029529600 = 2757636^2 + 1395360^2 .

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

It is a Duffinian number.

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 24 ways as a sum of consecutive naturals, for example, 32599268926 + ... + 32599269218.

Almost surely, 2^{9551585838096} is an apocalyptic number.

9551585838096 is the 3090564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9551585838096

9551585838096 is an abundant number, since it is smaller than the sum of its proper divisors (18188149581355).

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

9551585838096 is an frugal number, since it uses more digits than its factorization.

9551585838096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 72.

The spelling of 9551585838096 in words is "nine trillion, five hundred fifty-one billion, five hundred eighty-five million, eight hundred thirty-eight thousand, ninety-six".