89390977159680 has 1600 divisors, whose sum is σ = 377449105461120. Its totient is φ = 20044737183744.

The previous prime is 89390977159661. The next prime is 89390977159727. The reversal of 89390977159680 is 8695177909398.

89390977159680 is a `hidden beast` number, since 8 + 9 + 390 + 9 + 77 + 159 + 6 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 89390977159680.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8795722279 + ... + 8795732441.

Almost surely, 2^{89390977159680} is an apocalyptic number.

89390977159680 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 89390977159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188724552730560).

89390977159680 is an abundant number, since it is smaller than the sum of its proper divisors (288058128301440).

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

89390977159680 is an equidigital number, since it uses as much as digits as its factorization.

89390977159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 81.

The spelling of 89390977159680 in words is "eighty-nine trillion, three hundred ninety billion, nine hundred seventy-seven million, one hundred fifty-nine thousand, six hundred eighty".