87171701760 has 528 divisors, whose sum is σ = 354880038240. Its totient is φ = 19505479680.

The previous prime is 87171701731. The next prime is 87171701783. The reversal of 87171701760 is 6710717178.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6582826 + ... + 6596054.

Almost surely, 2^87171701760 is an apocalyptic number.

87171701760 is a gapful number since it is divisible by the number (80) 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 87171701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177440019120).

87171701760 is an abundant number, since it is smaller than the sum of its proper divisors (267708336480).

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

87171701760 is a wasteful number, since it uses less digits than its factorization.

87171701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284 (or 13263 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 45.

The spelling of 87171701760 in words is "eighty-seven billion, one hundred seventy-one million, seven hundred one thousand, seven hundred sixty".