89063008782400 has 189 divisors, whose sum is σ = 222347680457293. Its totient is φ = 35112870284800.

The previous prime is 89063008782343. The next prime is 89063008782413. The reversal of 89063008782400 is 428780036098.

The square root of 89063008782400 is 9437320.

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

It can be written as a sum of positive squares in only one way, i.e., 32062683161664 + 57000325620736 = 5662392^2 + 7549856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26801987139 + ... + 26801990461.

Almost surely, 2^{89063008782400} is an apocalyptic number.

89063008782400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89063008782400 is the 9437320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89063008782400

89063008782400 is an abundant number, since it is smaller than the sum of its proper divisors (133284671674893).

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

89063008782400 is an frugal number, since it uses more digits than its factorization.

89063008782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 89063008782400 in words is "eighty-nine trillion, sixty-three billion, eight million, seven hundred eighty-two thousand, four hundred".