88078579200 has 240 divisors, whose sum is σ = 323292470160. Its totient is φ = 23487528960.

The previous prime is 88078579163. The next prime is 88078579207. The reversal of 88078579200 is 297587088.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×88078579200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88078579207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218172 + ... + 473028.

It is an arithmetic number, because the mean of its divisors is an integer number (1347051959).

Almost surely, 2^88078579200 is an apocalyptic number.

88078579200 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 88078579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161646235080).

88078579200 is an abundant number, since it is smaller than the sum of its proper divisors (235213890960).

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

88078579200 is a wasteful number, since it uses less digits than its factorization.

88078579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254894 (or 254867 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 88078579200 in words is "eighty-eight billion, seventy-eight million, five hundred seventy-nine thousand, two hundred".