88975321344 has 1152 divisors, whose sum is σ = 351578465280. Its totient is φ = 21530935296.

The previous prime is 88975321339. The next prime is 88975321381. The reversal of 88975321344 is 44312357988.

It is a happy number.

88975321344 is a `hidden beast` number, since 8 + 8 + 97 + 532 + 13 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (252).

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 127 ways as a sum of consecutive naturals, for example, 566721714 + ... + 566721870.

It is an arithmetic number, because the mean of its divisors is an integer number (305189640).

Almost surely, 2^88975321344 is an apocalyptic number.

88975321344 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 88975321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175789232640).

88975321344 is an abundant number, since it is smaller than the sum of its proper divisors (262603143936).

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

88975321344 is a wasteful number, since it uses less digits than its factorization.

88975321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 88975321344 in words is "eighty-eight billion, nine hundred seventy-five million, three hundred twenty-one thousand, three hundred forty-four".