171077948640 has 576 divisors, whose sum is σ = 665064691200. Its totient is φ = 41336469504.

The previous prime is 171077948633. The next prime is 171077948693. The reversal of 171077948640 is 46849770171.

It is a happy number.

171077948640 is a `hidden beast` number, since 17 + 107 + 7 + 9 + 486 + 40 = 666.

It is a super-3 number, since 3×171077948640³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16985526 + ... + 16995594.

It is an arithmetic number, because the mean of its divisors is an integer number (1154626200).

Almost surely, 2^171077948640 is an apocalyptic number.

171077948640 is a gapful number since it is divisible by the number (10) 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 171077948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332532345600).

171077948640 is an abundant number, since it is smaller than the sum of its proper divisors (493986742560).

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

171077948640 is a wasteful number, since it uses less digits than its factorization.

171077948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 171077948640 in words is "one hundred seventy-one billion, seventy-seven million, nine hundred forty-eight thousand, six hundred forty".