3161755330560 has 768 divisors, whose sum is σ = 11947247020800. Its totient is φ = 790401908736.

The previous prime is 3161755330501. The next prime is 3161755330589. The reversal of 3161755330560 is 650335571613.

3161755330560 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 7 + 5 + 53 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 1330144092 + ... + 1330146468.

It is an arithmetic number, because the mean of its divisors is an integer number (15556311225).

Almost surely, 2^{3161755330560} is an apocalyptic number.

3161755330560 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 3161755330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973623510400).

3161755330560 is an abundant number, since it is smaller than the sum of its proper divisors (8785491690240).

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

3161755330560 is a wasteful number, since it uses less digits than its factorization.

3161755330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 3161755330560 in words is "three trillion, one hundred sixty-one billion, seven hundred fifty-five million, three hundred thirty thousand, five hundred sixty".