89708290560 has 1080 divisors, whose sum is σ = 378733443660. Its totient is φ = 20316635136.

The previous prime is 89708290523. The next prime is 89708290571. The reversal of 89708290560 is 6509280798.

It is a happy number.

89708290560 is a `hidden beast` number, since 8 + 9 + 70 + 8 + 2 + 9 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89625989376 + 82301184 = 299376^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×89708290560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89708290497 and 89708290506.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 823011786 + ... + 823011894.

Almost surely, 2^89708290560 is an apocalyptic number.

89708290560 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 89708290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189366721830).

89708290560 is an abundant number, since it is smaller than the sum of its proper divisors (289025153100).

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

89708290560 is an frugal number, since it uses more digits than its factorization.

89708290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 89708290560 in words is "eighty-nine billion, seven hundred eight million, two hundred ninety thousand, five hundred sixty".