9541605600 has 360 divisors, whose sum is σ = 35002681560. Its totient is φ = 2529377280.

The previous prime is 9541605569. The next prime is 9541605617. The reversal of 9541605600 is 65061459.

9541605600 is a `hidden beast` number, since 9 + 5 + 41 + 6 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14838879 + ... + 14839521.

It is an arithmetic number, because the mean of its divisors is an integer number (97229671).

Almost surely, 2^9541605600 is an apocalyptic number.

9541605600 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 9541605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501340780).

9541605600 is an abundant number, since it is smaller than the sum of its proper divisors (25461075960).

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

9541605600 is a wasteful number, since it uses less digits than its factorization.

9541605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9541605600 is about 97681.1424994610. The cubic root of 9541605600 is about 2120.9991137320. Note that the first 3 decimals are identical.

The spelling of 9541605600 in words is "nine billion, five hundred forty-one million, six hundred five thousand, six hundred".