89169172807680 has 1200 divisors, whose sum is σ = 377138024288256. Its totient is φ = 19723738152960.

The previous prime is 89169172807651. The next prime is 89169172807703. The reversal of 89169172807680 is 8670827196198.

89169172807680 is a `hidden beast` number, since 89 + 169 + 172 + 80 + 76 + 80 = 666.

It is a super-2 number, since 2×89169172807680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89169172807599 and 89169172807608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1439876877 + ... + 1439938803.

Almost surely, 2^{89169172807680} is an apocalyptic number.

89169172807680 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 89169172807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188569012144128).

89169172807680 is an abundant number, since it is smaller than the sum of its proper divisors (287968851480576).

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

89169172807680 is an equidigital number, since it uses as much as digits as its factorization.

89169172807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62010 (or 61975 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 89169172807680 in words is "eighty-nine trillion, one hundred sixty-nine billion, one hundred seventy-two million, eight hundred seven thousand, six hundred eighty".