88834786560 has 720 divisors, whose sum is σ = 362548294416. Its totient is φ = 20575420416.

The previous prime is 88834786531. The next prime is 88834786561. The reversal of 88834786560 is 6568743888.

88834786560 is a `hidden beast` number, since 88 + 83 + 478 + 6 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5309162496 + 83525624064 = 72864^2 + 289008^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88834786561) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 22911342 + ... + 22915218.

Almost surely, 2^88834786560 is an apocalyptic number.

88834786560 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 88834786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181274147208).

88834786560 is an abundant number, since it is smaller than the sum of its proper divisors (273713507856).

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

88834786560 is a wasteful number, since it uses less digits than its factorization.

88834786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 88834786560 in words is "eighty-eight billion, eight hundred thirty-four million, seven hundred eighty-six thousand, five hundred sixty".