88581536736 has 432 divisors, whose sum is σ = 313001902080. Its totient is φ = 21794572800.

The previous prime is 88581536731. The next prime is 88581536753. The reversal of 88581536736 is 63763518588.

It is a super-2 number, since 2×88581536736² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88581536736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88581536731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10810401 + ... + 10818591.

It is an arithmetic number, because the mean of its divisors is an integer number (724541440).

Almost surely, 2^88581536736 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 88581536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156500951040).

88581536736 is an abundant number, since it is smaller than the sum of its proper divisors (224420365344).

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

88581536736 is a wasteful number, since it uses less digits than its factorization.

88581536736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8233 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 88581536736 in words is "eighty-eight billion, five hundred eighty-one million, five hundred thirty-six thousand, seven hundred thirty-six".