88002409104 has 135 divisors (see below), whose sum is σ = 251128934563. Its totient is φ = 28768124352.

The previous prime is 88002409091. The next prime is 88002409109. The reversal of 88002409104 is 40190420088.

The square root of 88002409104 is 296652.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88002409109) 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 26 ways as a sum of consecutive naturals, for example, 210029407 + ... + 210029825.

Almost surely, 2^88002409104 is an apocalyptic number.

88002409104 is the 296652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88002409104

88002409104 is an abundant number, since it is smaller than the sum of its proper divisors (163126525459).

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

88002409104 is an equidigital number, since it uses as much as digits as its factorization.

88002409104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 88002409104 by its sum of digits (36), we get a square (3168086727744 = 1779912²).

88002409104 divided by its sum of digits (36) gives a square (2444511364 = 49442²).

The spelling of 88002409104 in words is "eighty-eight billion, two million, four hundred nine thousand, one hundred four".