87527451809280 has 960 divisors, whose sum is σ = 348799720389120. Its totient is φ = 18602461495296.

The previous prime is 87527451809219. The next prime is 87527451809339. The reversal of 87527451809280 is 8290815472578.

It is a happy number.

87527451809280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×87527451809280³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530905101 + ... + 531069939.

It is an arithmetic number, because the mean of its divisors is an integer number (363333042072).

Almost surely, 2^{87527451809280} is an apocalyptic number.

87527451809280 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 87527451809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174399860194560).

87527451809280 is an abundant number, since it is smaller than the sum of its proper divisors (261272268579840).

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

87527451809280 is a wasteful number, since it uses less digits than its factorization.

87527451809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164979 (or 164956 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 66.

The spelling of 87527451809280 in words is "eighty-seven trillion, five hundred twenty-seven billion, four hundred fifty-one million, eight hundred nine thousand, two hundred eighty".