89809691077440 has 1008 divisors, whose sum is σ = 335832459460992. Its totient is φ = 22831822024704.

The previous prime is 89809691077399. The next prime is 89809691077501. The reversal of 89809691077440 is 4477019690898.

89809691077440 is a `hidden beast` number, since 8 + 9 + 8 + 0 + 96 + 91 + 0 + 7 + 7 + 440 = 666.

It is a super-2 number, since 2×89809691077440² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15307597387 + ... + 15307603253.

Almost surely, 2^{89809691077440} is an apocalyptic number.

89809691077440 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 89809691077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167916229730496).

89809691077440 is an abundant number, since it is smaller than the sum of its proper divisors (246022768383552).

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

89809691077440 is an equidigital number, since it uses as much as digits as its factorization.

89809691077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 89809691077440 in words is "eighty-nine trillion, eight hundred nine billion, six hundred ninety-one million, seventy-seven thousand, four hundred forty".