89965028160 has 560 divisors, whose sum is σ = 387266102784. Its totient is φ = 19353157632.

The previous prime is 89965028159. The next prime is 89965028191. The reversal of 89965028160 is 6182056998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 89965028097 and 89965028106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3069897 + ... + 3099063.

Almost surely, 2^89965028160 is an apocalyptic number.

89965028160 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 89965028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193633051392).

89965028160 is an abundant number, since it is smaller than the sum of its proper divisors (297301074624).

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

89965028160 is a wasteful number, since it uses less digits than its factorization.

89965028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220 (or 29201 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 89965028160 in words is "eighty-nine billion, nine hundred sixty-five million, twenty-eight thousand, one hundred sixty".