89821110760000 has 105 divisors (see below), whose sum is σ = 222731863097359. Its totient is φ = 35927686112000.

The previous prime is 89821110759983. The next prime is 89821110760061. The reversal of 89821110760000 is 6701112898.

It is a happy number.

The square root of 89821110760000 is 9477400.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7041975083584 + 82779135676416 = 2653672^2 + 9098304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1895456307 + ... + 1895503693.

Almost surely, 2^{89821110760000} is an apocalyptic number.

89821110760000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89821110760000 is the 9477400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89821110760000

89821110760000 is an abundant number, since it is smaller than the sum of its proper divisors (132910752337359).

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

89821110760000 is an frugal number, since it uses more digits than its factorization.

89821110760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94806 (or 47394 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 43.

Adding to 89821110760000 its reverse (6701112898), we get a palindrome (89827811872898).

The spelling of 89821110760000 in words is "eighty-nine trillion, eight hundred twenty-one billion, one hundred ten million, seven hundred sixty thousand".