88530226560 has 448 divisors, whose sum is σ = 327608300160. Its totient is φ = 22842777600.

The previous prime is 88530226537. The next prime is 88530226607. The reversal of 88530226560 is 6562203588.

88530226560 is a `hidden beast` number, since 8 + 85 + 3 + 0 + 2 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14460300 + ... + 14466420.

Almost surely, 2^88530226560 is an apocalyptic number.

88530226560 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 88530226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163804150080).

88530226560 is an abundant number, since it is smaller than the sum of its proper divisors (239078073600).

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

88530226560 is an equidigital number, since it uses as much as digits as its factorization.

88530226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 88530226560 in words is "eighty-eight billion, five hundred thirty million, two hundred twenty-six thousand, five hundred sixty".