88093783680 has 768 divisors, whose sum is σ = 337029672960. Its totient is φ = 19508428800.

The previous prime is 88093783669. The next prime is 88093783717. The reversal of 88093783680 is 8638739088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 693651777 + ... + 693651903.

It is an arithmetic number, because the mean of its divisors is an integer number (438840720).

Almost surely, 2^88093783680 is an apocalyptic number.

88093783680 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 88093783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168514836480).

88093783680 is an abundant number, since it is smaller than the sum of its proper divisors (248935889280).

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

88093783680 is a wasteful number, since it uses less digits than its factorization.

88093783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 88093783680 in words is "eighty-eight billion, ninety-three million, seven hundred eighty-three thousand, six hundred eighty".