88839480576 has 1152 divisors, whose sum is σ = 331540070400. Its totient is φ = 20863180800.

The previous prime is 88839480571. The next prime is 88839480589. The reversal of 88839480576 is 67508493888.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88839480571) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2066034411 + ... + 2066034453.

It is an arithmetic number, because the mean of its divisors is an integer number (287795200).

Almost surely, 2^88839480576 is an apocalyptic number.

88839480576 is a gapful number since it is divisible by the number (86) 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 88839480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165770035200).

88839480576 is an abundant number, since it is smaller than the sum of its proper divisors (242700589824).

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

88839480576 is a wasteful number, since it uses less digits than its factorization.

88839480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 88839480576 in words is "eighty-eight billion, eight hundred thirty-nine million, four hundred eighty thousand, five hundred seventy-six".