2171352257568 has 96 divisors (see below), whose sum is σ = 6820273152000. Its totient is φ = 668108383488.

The previous prime is 2171352257551. The next prime is 2171352257651. The reversal of 2171352257568 is 8657522531712.

2171352257568 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 3 + 5 + 2 + 2 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96647968 + ... + 96670431.

It is an arithmetic number, because the mean of its divisors is an integer number (71044512000).

Almost surely, 2^{2171352257568} is an apocalyptic number.

It is an amenable number.

2171352257568 is an abundant number, since it is smaller than the sum of its proper divisors (4648920894432).

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

2171352257568 is a wasteful number, since it uses less digits than its factorization.

2171352257568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193318431 (or 193318417 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 2171352257568 in words is "two trillion, one hundred seventy-one billion, three hundred fifty-two million, two hundred fifty-seven thousand, five hundred sixty-eight".