89541642960 has 480 divisors, whose sum is σ = 378256290048. Its totient is φ = 18440110080.

The previous prime is 89541642959. The next prime is 89541642997. The reversal of 89541642960 is 6924614598.

89541642960 is a `hidden beast` number, since 8 + 9 + 541 + 6 + 4 + 2 + 96 + 0 = 666.

It is a super-2 number, since 2×89541642960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89541642897 and 89541642906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6257574 + ... + 6271866.

Almost surely, 2^89541642960 is an apocalyptic number.

89541642960 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 89541642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189128145024).

89541642960 is an abundant number, since it is smaller than the sum of its proper divisors (288714647088).

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

89541642960 is a wasteful number, since it uses less digits than its factorization.

89541642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14443 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 89541642960 in words is "eighty-nine billion, five hundred forty-one million, six hundred forty-two thousand, nine hundred sixty".