171116426880 has 1280 divisors, whose sum is σ = 727960780800. Its totient is φ = 37497987072.

The previous prime is 171116426869. The next prime is 171116426891. The reversal of 171116426880 is 88624611171.

It is an interprime number because it is at equal distance from previous prime (171116426869) and next prime (171116426891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1347373377 + ... + 1347373503.

It is an arithmetic number, because the mean of its divisors is an integer number (568719360).

Almost surely, 2^171116426880 is an apocalyptic number.

171116426880 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 171116426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363980390400).

171116426880 is an abundant number, since it is smaller than the sum of its proper divisors (556844353920).

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

171116426880 is a wasteful number, since it uses less digits than its factorization.

171116426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 171116426880 in words is "one hundred seventy-one billion, one hundred sixteen million, four hundred twenty-six thousand, eight hundred eighty".