88025945760 has 288 divisors, whose sum is σ = 311218362000. Its totient is φ = 22629777408.

The previous prime is 88025945737. The next prime is 88025945771. The reversal of 88025945760 is 6754952088.

88025945760 is a `hidden beast` number, since 8 + 80 + 2 + 59 + 457 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1158993936 + 86866951824 = 34044^2 + 294732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 88025945697 and 88025945706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38793906 + ... + 38796174.

Almost surely, 2^88025945760 is an apocalyptic number.

88025945760 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 88025945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155609181000).

88025945760 is an abundant number, since it is smaller than the sum of its proper divisors (223192416240).

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

88025945760 is a wasteful number, since it uses less digits than its factorization.

88025945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 88025945760 in words is "eighty-eight billion, twenty-five million, nine hundred forty-five thousand, seven hundred sixty".