89996860680480 has 2304 divisors, whose sum is σ = 374048761282560. Its totient is φ = 20236013568000.

The previous prime is 89996860680443. The next prime is 89996860680481. The reversal of 89996860680480 is 8408606869998.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 89996860680480.

It is not an unprimeable number, because it can be changed into a prime (89996860680481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149745192180 + ... + 149745192780.

It is an arithmetic number, because the mean of its divisors is an integer number (162347552640).

Almost surely, 2^{89996860680480} is an apocalyptic number.

89996860680480 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 89996860680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187024380641280).

89996860680480 is an abundant number, since it is smaller than the sum of its proper divisors (284051900602080).

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

89996860680480 is a wasteful number, since it uses less digits than its factorization.

89996860680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 81.

The spelling of 89996860680480 in words is "eighty-nine trillion, nine hundred ninety-six billion, eight hundred sixty million, six hundred eighty thousand, four hundred eighty".