89485077528 has 288 divisors, whose sum is σ = 308107800000. Its totient is φ = 23200974720.

The previous prime is 89485077527. The next prime is 89485077551. The reversal of 89485077528 is 82577058498.

89485077528 is a `hidden beast` number, since 89 + 48 + 507 + 7 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89485077523) 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 71 ways as a sum of consecutive naturals, for example, 25572723 + ... + 25576221.

It is an arithmetic number, because the mean of its divisors is an integer number (1069818750).

Almost surely, 2^89485077528 is an apocalyptic number.

89485077528 is a gapful number since it is divisible by the number (88) 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 89485077528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053900000).

89485077528 is an abundant number, since it is smaller than the sum of its proper divisors (218622722472).

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

89485077528 is a wasteful number, since it uses less digits than its factorization.

89485077528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 89485077528 in words is "eighty-nine billion, four hundred eighty-five million, seventy-seven thousand, five hundred twenty-eight".