89145834960 has 320 divisors, whose sum is σ = 340465208832. Its totient is φ = 18790023168.

The previous prime is 89145834959. The next prime is 89145834977. The reversal of 89145834960 is 6943854198.

It is a self number, because there is not a number n which added to its sum of digits gives 89145834960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38808532 + ... + 38810828.

Almost surely, 2^89145834960 is an apocalyptic number.

89145834960 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 89145834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170232604416).

89145834960 is an abundant number, since it is smaller than the sum of its proper divisors (251319373872).

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

89145834960 is a wasteful number, since it uses less digits than its factorization.

89145834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 89145834960 in words is "eighty-nine billion, one hundred forty-five million, eight hundred thirty-four thousand, nine hundred sixty".