89835166464 has 288 divisors, whose sum is σ = 259971290880. Its totient is φ = 27443183616.

The previous prime is 89835166417. The next prime is 89835166471. The reversal of 89835166464 is 46466153898.

It is a super-2 number, since 2×89835166464² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89835166398 and 89835166407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122557842 + ... + 122558574.

Almost surely, 2^89835166464 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 89835166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129985645440).

89835166464 is an abundant number, since it is smaller than the sum of its proper divisors (170136124416).

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

89835166464 is a wasteful number, since it uses less digits than its factorization.

89835166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 89835166464 in words is "eighty-nine billion, eight hundred thirty-five million, one hundred sixty-six thousand, four hundred sixty-four".