87520181760 has 240 divisors, whose sum is σ = 330663144240. Its totient is φ = 21216952320.

The previous prime is 87520181719. The next prime is 87520181773. The reversal of 87520181760 is 6718102578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 80776 + ... + 426104.

It is an arithmetic number, because the mean of its divisors is an integer number (1377763101).

Almost surely, 2^87520181760 is an apocalyptic number.

87520181760 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 87520181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165331572120).

87520181760 is an abundant number, since it is smaller than the sum of its proper divisors (243142962480).

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

87520181760 is a wasteful number, since it uses less digits than its factorization.

87520181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345369 (or 345350 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 87520181760 in words is "eighty-seven billion, five hundred twenty million, one hundred eighty-one thousand, seven hundred sixty".