2175757561164 has 192 divisors, whose sum is σ = 5892076753920. Its totient is φ = 619724016640.

The previous prime is 2175757561163. The next prime is 2175757561199. The reversal of 2175757561164 is 4611657575712.

It is not an unprimeable number, because it can be changed into a prime (2175757561163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637489522 + ... + 637492934.

It is an arithmetic number, because the mean of its divisors is an integer number (30687899760).

Almost surely, 2^{2175757561164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2175757561164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946038376960).

2175757561164 is an abundant number, since it is smaller than the sum of its proper divisors (3716319192756).

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

2175757561164 is a wasteful number, since it uses less digits than its factorization.

2175757561164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4429 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 57.

The spelling of 2175757561164 in words is "two trillion, one hundred seventy-five billion, seven hundred fifty-seven million, five hundred sixty-one thousand, one hundred sixty-four".