3591475161120 has 1920 divisors, whose sum is σ = 16715431434240. Its totient is φ = 703557550080.

The previous prime is 3591475161119. The next prime is 3591475161143. The reversal of 3591475161120 is 211615741953.

3591475161120 is a `hidden beast` number, since 3 + 5 + 9 + 1 + 4 + 7 + 5 + 1 + 611 + 20 = 666.

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 319 ways as a sum of consecutive naturals, for example, 5820867052 + ... + 5820867668.

It is an arithmetic number, because the mean of its divisors is an integer number (8705953872).

Almost surely, 2^{3591475161120} is an apocalyptic number.

3591475161120 is a gapful number since it is divisible by the number (30) 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 3591475161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357715717120).

3591475161120 is an abundant number, since it is smaller than the sum of its proper divisors (13123956273120).

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

3591475161120 is a wasteful number, since it uses less digits than its factorization.

3591475161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 3591475161120 in words is "three trillion, five hundred ninety-one billion, four hundred seventy-five million, one hundred sixty-one thousand, one hundred twenty".