88934434560 has 432 divisors, whose sum is σ = 319549557600. Its totient is φ = 22809378816.

The previous prime is 88934434549. The next prime is 88934434571. The reversal of 88934434560 is 6543443988.

88934434560 is a `hidden beast` number, since 8 + 8 + 9 + 3 + 44 + 34 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (88934434549) and next prime (88934434571).

It is a junction number, because it is equal to n+sod(n) for n = 88934434497 and 88934434506.

It is a congruent number.

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, 170046459 + ... + 170046981.

It is an arithmetic number, because the mean of its divisors is an integer number (739698050).

Almost surely, 2^88934434560 is an apocalyptic number.

88934434560 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 88934434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159774778800).

88934434560 is an abundant number, since it is smaller than the sum of its proper divisors (230615123040).

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

88934434560 is a wasteful number, since it uses less digits than its factorization.

88934434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 88934434560 in words is "eighty-eight billion, nine hundred thirty-four million, four hundred thirty-four thousand, five hundred sixty".