89350672320 has 1792 divisors, whose sum is σ = 416533340160. Its totient is φ = 17736744960.

The previous prime is 89350672303. The next prime is 89350672321. The reversal of 89350672320 is 2327605398.

89350672320 is a `hidden beast` number, since 8 + 9 + 350 + 67 + 232 + 0 = 666.

It is a super-3 number, since 3×89350672320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89350672321) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1464765090 + ... + 1464765150.

It is an arithmetic number, because the mean of its divisors is an integer number (232440480).

Almost surely, 2^89350672320 is an apocalyptic number.

89350672320 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 89350672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208266670080).

89350672320 is an abundant number, since it is smaller than the sum of its proper divisors (327182667840).

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

89350672320 is a wasteful number, since it uses less digits than its factorization.

89350672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 89350672320 in words is "eighty-nine billion, three hundred fifty million, six hundred seventy-two thousand, three hundred twenty".