88868442624 has 480 divisors, whose sum is σ = 273284383680. Its totient is φ = 25476562944.

The previous prime is 88868442589. The next prime is 88868442629. The reversal of 88868442624 is 42624486888.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88868442629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070704087 + ... + 1070704169.

It is an arithmetic number, because the mean of its divisors is an integer number (569342466).

Almost surely, 2^88868442624 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 88868442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136642191840).

88868442624 is an abundant number, since it is smaller than the sum of its proper divisors (184415941056).

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

88868442624 is a wasteful number, since it uses less digits than its factorization.

88868442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 173 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The spelling of 88868442624 in words is "eighty-eight billion, eight hundred sixty-eight million, four hundred forty-two thousand, six hundred twenty-four".