89177278080 has 512 divisors, whose sum is σ = 342641664000. Its totient is φ = 19460587520.

The previous prime is 89177278049. The next prime is 89177278087. The reversal of 89177278080 is 8087277198.

It is a self number, because there is not a number n which added to its sum of digits gives 89177278080.

It is not an unprimeable number, because it can be changed into a prime (89177278087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8252521 + ... + 8263319.

It is an arithmetic number, because the mean of its divisors is an integer number (669222000).

Almost surely, 2^89177278080 is an apocalyptic number.

89177278080 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 89177278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171320832000).

89177278080 is an abundant number, since it is smaller than the sum of its proper divisors (253464385920).

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

89177278080 is a wasteful number, since it uses less digits than its factorization.

89177278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 57.

The spelling of 89177278080 in words is "eighty-nine billion, one hundred seventy-seven million, two hundred seventy-eight thousand, eighty".