88655106960 has 640 divisors, whose sum is σ = 365325189120. Its totient is φ = 19334246400.

The previous prime is 88655106931. The next prime is 88655106961. The reversal of 88655106960 is 6960155688.

It is a happy number.

88655106960 is a `hidden beast` number, since 8 + 8 + 6 + 5 + 510 + 69 + 60 = 666.

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 = 88655106897 and 88655106906.

It is not an unprimeable number, because it can be changed into a prime (88655106961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34215265 + ... + 34217855.

It is an arithmetic number, because the mean of its divisors is an integer number (570820608).

Almost surely, 2^88655106960 is an apocalyptic number.

88655106960 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 88655106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182662594560).

88655106960 is an abundant number, since it is smaller than the sum of its proper divisors (276670082160).

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

88655106960 is a wasteful number, since it uses less digits than its factorization.

88655106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 88655106960 in words is "eighty-eight billion, six hundred fifty-five million, one hundred six thousand, nine hundred sixty".