87471835360 has 768 divisors, whose sum is σ = 281506627584. Its totient is φ = 24907087872.

The previous prime is 87471835337. The next prime is 87471835361. The reversal of 87471835360 is 6353817478.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 87471835298 and 87471835307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87471835361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 849241069 + ... + 849241171.

It is an arithmetic number, because the mean of its divisors is an integer number (366545088).

Almost surely, 2^87471835360 is an apocalyptic number.

87471835360 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 87471835360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140753313792).

87471835360 is an abundant number, since it is smaller than the sum of its proper divisors (194034792224).

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

87471835360 is a wasteful number, since it uses less digits than its factorization.

87471835360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 87471835360 in words is "eighty-seven billion, four hundred seventy-one million, eight hundred thirty-five thousand, three hundred sixty".