88081235424 has 288 divisors, whose sum is σ = 324511649280. Its totient is φ = 22007448576.

The previous prime is 88081235401. The next prime is 88081235471. The reversal of 88081235424 is 42453218088.

88081235424 is a `hidden beast` number, since 8 + 8 + 0 + 81 + 23 + 542 + 4 = 666.

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

It is a super-2 number, since 2×88081235424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88081235424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409509 + ... + 586395.

It is an arithmetic number, because the mean of its divisors is an integer number (1126776560).

Almost surely, 2^88081235424 is an apocalyptic number.

88081235424 is a gapful number since it is divisible by the number (84) 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 88081235424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162255824640).

88081235424 is an abundant number, since it is smaller than the sum of its proper divisors (236430413856).

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

88081235424 is a wasteful number, since it uses less digits than its factorization.

88081235424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176942 (or 176931 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 88081235424 in words is "eighty-eight billion, eighty-one million, two hundred thirty-five thousand, four hundred twenty-four".