87540102332928 has 720 divisors, whose sum is σ = 297497553312960. Its totient is φ = 24706239086592.

The previous prime is 87540102332897. The next prime is 87540102332929. The reversal of 87540102332928 is 82923320104578.

87540102332928 is a `hidden beast` number, since 8 + 7 + 540 + 1 + 0 + 2 + 3 + 3 + 2 + 92 + 8 = 666.

It is a super-3 number, since 3×87540102332928³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (87540102332929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8673343050 + ... + 8673353142.

It is an arithmetic number, because the mean of its divisors is an integer number (413191046268).

Almost surely, 2^{87540102332928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87540102332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148748776656480).

87540102332928 is an abundant number, since it is smaller than the sum of its proper divisors (209957450980032).

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

87540102332928 is a wasteful number, since it uses less digits than its factorization.

87540102332928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10571 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 87540102332928 in words is "eighty-seven trillion, five hundred forty billion, one hundred two million, three hundred thirty-two thousand, nine hundred twenty-eight".