89628657552 has 240 divisors, whose sum is σ = 293407470720. Its totient is φ = 25013311488.

The previous prime is 89628657487. The next prime is 89628657553. The reversal of 89628657552 is 25575682698.

89628657552 is a `hidden beast` number, since 8 + 9 + 6 + 2 + 8 + 6 + 575 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89628657552.

It is not an unprimeable number, because it can be changed into a prime (89628657553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7440078 + ... + 7452114.

It is an arithmetic number, because the mean of its divisors is an integer number (1222531128).

Almost surely, 2^89628657552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89628657552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146703735360).

89628657552 is an abundant number, since it is smaller than the sum of its proper divisors (203778813168).

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

89628657552 is a wasteful number, since it uses less digits than its factorization.

89628657552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 12221 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 89628657552 in words is "eighty-nine billion, six hundred twenty-eight million, six hundred fifty-seven thousand, five hundred fifty-two".