88283381760 has 512 divisors, whose sum is σ = 358859174400. Its totient is φ = 20171980800.

The previous prime is 88283381741. The next prime is 88283381827. The reversal of 88283381760 is 6718338288.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 88283381697 and 88283381706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30964335 + ... + 30967185.

It is an arithmetic number, because the mean of its divisors is an integer number (700896825).

Almost surely, 2^88283381760 is an apocalyptic number.

88283381760 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 88283381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179429587200).

88283381760 is an abundant number, since it is smaller than the sum of its proper divisors (270575792640).

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

88283381760 is an equidigital number, since it uses as much as digits as its factorization.

88283381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 88283381760 in words is "eighty-eight billion, two hundred eighty-three million, three hundred eighty-one thousand, seven hundred sixty".