89452384560 has 640 divisors, whose sum is σ = 404374118400. Its totient is φ = 17608596480.

The previous prime is 89452384543. The next prime is 89452384561. The reversal of 89452384560 is 6548325498.

89452384560 is a `hidden beast` number, since 8 + 9 + 45 + 2 + 38 + 4 + 560 = 666.

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 = 89452384497 and 89452384506.

It is not an unprimeable number, because it can be changed into a prime (89452384561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3145927 + ... + 3174233.

It is an arithmetic number, because the mean of its divisors is an integer number (631834560).

Almost surely, 2^89452384560 is an apocalyptic number.

89452384560 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 89452384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202187059200).

89452384560 is an abundant number, since it is smaller than the sum of its proper divisors (314921733840).

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

89452384560 is a wasteful number, since it uses less digits than its factorization.

89452384560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28366 (or 28354 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 89452384560 in words is "eighty-nine billion, four hundred fifty-two million, three hundred eighty-four thousand, five hundred sixty".