89826967888680 has 256 divisors, whose sum is σ = 294655180861440. Its totient is φ = 21726215884800.

The previous prime is 89826967888643. The next prime is 89826967888727. The reversal of 89826967888680 is 8688876962898.

It is a Cunningham number, because it is equal to 9477709²-1.

It is a super-3 number, since 3×89826967888680³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042504800 + ... + 1042590960.

It is an arithmetic number, because the mean of its divisors is an integer number (1150996800240).

Almost surely, 2^{89826967888680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89826967888680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147327590430720).

89826967888680 is an abundant number, since it is smaller than the sum of its proper divisors (204828212972760).

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

89826967888680 is a wasteful number, since it uses less digits than its factorization.

89826967888680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87992 (or 87988 counting only the distinct ones).

The product of its (nonzero) digits is 64210599936, while the sum is 93.

The spelling of 89826967888680 in words is "eighty-nine trillion, eight hundred twenty-six billion, nine hundred sixty-seven million, eight hundred eighty-eight thousand, six hundred eighty".