171358764172040 has 32 divisors (see below), whose sum is σ = 385644906209880. Its totient is φ = 68527916900352.

The previous prime is 171358764172031. The next prime is 171358764172051. The reversal of 171358764172040 is 40271467853171.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110074635789316 + 61284128382724 = 10491646^2 + 7828418^2 .

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 7 ways as a sum of consecutive naturals, for example, 486970937 + ... + 487322696.

Almost surely, 2^{171358764172040} is an apocalyptic number.

171358764172040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171358764172040 is an abundant number, since it is smaller than the sum of its proper divisors (214286142037840).

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

171358764172040 is a wasteful number, since it uses less digits than its factorization.

171358764172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974298041 (or 974298037 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 56.

The spelling of 171358764172040 in words is "one hundred seventy-one trillion, three hundred fifty-eight billion, seven hundred sixty-four million, one hundred seventy-two thousand, forty".