2175075952896 has 1152 divisors, whose sum is σ = 8007596900352. Its totient is φ = 506806272000.

The previous prime is 2175075952891. The next prime is 2175075952901. The reversal of 2175075952896 is 6982595705712.

It is an interprime number because it is at equal distance from previous prime (2175075952891) and next prime (2175075952901).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2175075952891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2212691221 + ... + 2212692203.

It is an arithmetic number, because the mean of its divisors is an integer number (6951038976).

Almost surely, 2^{2175075952896} 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 2175075952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003798450176).

2175075952896 is an abundant number, since it is smaller than the sum of its proper divisors (5832520947456).

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

2175075952896 is a wasteful number, since it uses less digits than its factorization.

2175075952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 66.

The spelling of 2175075952896 in words is "two trillion, one hundred seventy-five billion, seventy-five million, nine hundred fifty-two thousand, eight hundred ninety-six".