88441088736 has 768 divisors, whose sum is σ = 334081843200. Its totient is φ = 19724083200.

The previous prime is 88441088663. The next prime is 88441088753. The reversal of 88441088736 is 63788014488.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107723206 + ... + 107724026.

It is an arithmetic number, because the mean of its divisors is an integer number (435002400).

Almost surely, 2^88441088736 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 88441088736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167040921600).

88441088736 is an abundant number, since it is smaller than the sum of its proper divisors (245640754464).

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

88441088736 is a wasteful number, since it uses less digits than its factorization.

88441088736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 88441088736 in words is "eighty-eight billion, four hundred forty-one million, eighty-eight thousand, seven hundred thirty-six".