89881776360000 has 1575 divisors, whose sum is σ = 349572145731501. Its totient is φ = 22826251008000.

The previous prime is 89881776359959. The next prime is 89881776360031. The reversal of 89881776360000 is 6367718898.

The square root of 89881776360000 is 9480600.

It is a perfect power (a square), and thus also a powerful number.

89881776360000 is a `hidden beast` number, since 8 + 9 + 8 + 8 + 17 + 7 + 6 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 24467585246784 + 65414191113216 = 4946472^2 + 8087904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89881776360000.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 392496839886 + ... + 392496840114.

Almost surely, 2^{89881776360000} is an apocalyptic number.

89881776360000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89881776360000 is the 9480600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89881776360000

89881776360000 is an abundant number, since it is smaller than the sum of its proper divisors (259690369371501).

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

89881776360000 is an frugal number, since it uses more digits than its factorization.

89881776360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 89881776360000 in words is "eighty-nine trillion, eight hundred eighty-one billion, seven hundred seventy-six million, three hundred sixty thousand".