89210880000 has 810 divisors, whose sum is σ = 353984537907. Its totient is φ = 21626880000.

The previous prime is 89210879959. The next prime is 89210880049. The reversal of 89210880000 is 8801298.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 20625555456 + 68585324544 = 143616^2 + 261888^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=211200.

It is a super-2 number, since 2×89210880000² (a number of 23 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 8110079995 + ... + 8110080005.

Almost surely, 2^89210880000 is an apocalyptic number.

89210880000 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 89210880000

89210880000 is an abundant number, since it is smaller than the sum of its proper divisors (264773657907).

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

89210880000 is an frugal number, since it uses more digits than its factorization.

89210880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 89210880000 in words is "eighty-nine billion, two hundred ten million, eight hundred eighty thousand".