9485199360 has 1152 divisors, whose sum is σ = 43164576000. Its totient is φ = 1932263424.

The previous prime is 9485199337. The next prime is 9485199371. The reversal of 9485199360 is 639915849.

9485199360 is a `hidden beast` number, since 9 + 485 + 19 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9485199297 and 9485199306.

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, 327075826 + ... + 327075854.

It is an arithmetic number, because the mean of its divisors is an integer number (37469250).

Almost surely, 2^9485199360 is an apocalyptic number.

9485199360 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 9485199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288000).

9485199360 is an abundant number, since it is smaller than the sum of its proper divisors (33679376640).

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

9485199360 is a wasteful number, since it uses less digits than its factorization.

9485199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9485199360 is about 97391.9881715123. The cubic root of 9485199360 is about 2116.8113450063.

The spelling of 9485199360 in words is "nine billion, four hundred eighty-five million, one hundred ninety-nine thousand, three hundred sixty".