89001110721600 has 1701 divisors, whose sum is σ = 404866942386543. Its totient is φ = 18475623936000.

The previous prime is 89001110721583. The next prime is 89001110721613. The reversal of 89001110721600 is 612701110098.

The square root of 89001110721600 is 9434040.

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

89001110721600 is a `hidden beast` number, since 8 + 9 + 0 + 0 + 11 + 10 + 7 + 21 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313537283136 + 88687573438464 = 559944^2 + 9417408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 87170529090 + ... + 87170530110.

Almost surely, 2^{89001110721600} is an apocalyptic number.

89001110721600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89001110721600 is the 9434040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89001110721600

89001110721600 is an abundant number, since it is smaller than the sum of its proper divisors (315865831664943).

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

89001110721600 is a wasteful number, since it uses less digits than its factorization.

89001110721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

89001110721600 divided by its sum of digits (36) gives a square (2472253075600 = 1572340²).

Adding to 89001110721600 its reverse (612701110098), we get a palindrome (89613811831698).

It can be divided in two parts, 890011 and 10721600, that added together give a palindrome (11611611).

The spelling of 89001110721600 in words is "eighty-nine trillion, one billion, one hundred ten million, seven hundred twenty-one thousand, six hundred".