89196180480 has 352 divisors, whose sum is σ = 345810026880. Its totient is φ = 21622947840.

The previous prime is 89196180473. The next prime is 89196180481. The reversal of 89196180480 is 8408169198.

89196180480 is a `hidden beast` number, since 8 + 9 + 19 + 618 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×89196180480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89196180481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491312 + ... + 1549968.

Almost surely, 2^89196180480 is an apocalyptic number.

89196180480 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 89196180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172905013440).

89196180480 is an abundant number, since it is smaller than the sum of its proper divisors (256613846400).

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

89196180480 is a wasteful number, since it uses less digits than its factorization.

89196180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58702 (or 58678 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 89196180480 in words is "eighty-nine billion, one hundred ninety-six million, one hundred eighty thousand, four hundred eighty".