87275335680 has 1248 divisors, whose sum is σ = 360645143040. Its totient is φ = 20065812480.

The previous prime is 87275335673. The next prime is 87275335711. The reversal of 87275335680 is 8653357278.

87275335680 is a `hidden beast` number, since 8 + 7 + 2 + 75 + 3 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1229230045 + ... + 1229230115.

It is an arithmetic number, because the mean of its divisors is an integer number (288978480).

Almost surely, 2^87275335680 is an apocalyptic number.

87275335680 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 87275335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180322571520).

87275335680 is an abundant number, since it is smaller than the sum of its proper divisors (273369807360).

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

87275335680 is a wasteful number, since it uses less digits than its factorization.

87275335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 87275335680 in words is "eighty-seven billion, two hundred seventy-five million, three hundred thirty-five thousand, six hundred eighty".