88561589760 has 1600 divisors, whose sum is σ = 398276258688. Its totient is φ = 18345885696.

The previous prime is 88561589747. The next prime is 88561589761. The reversal of 88561589760 is 6798516588.

88561589760 is a `hidden beast` number, since 8 + 8 + 5 + 615 + 8 + 9 + 7 + 6 + 0 = 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 (88561589761) 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 159 ways as a sum of consecutive naturals, for example, 913006032 + ... + 913006128.

Almost surely, 2^88561589760 is an apocalyptic number.

88561589760 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 88561589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199138129344).

88561589760 is an abundant number, since it is smaller than the sum of its proper divisors (309714668928).

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

88561589760 is a wasteful number, since it uses less digits than its factorization.

88561589760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 88561589760 in words is "eighty-eight billion, five hundred sixty-one million, five hundred eighty-nine thousand, seven hundred sixty".