88440609600 has 1512 divisors, whose sum is σ = 396358356888. Its totient is φ = 18579456000.

The previous prime is 88440609563. The next prime is 88440609611. The reversal of 88440609600 is 690604488.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 317124864 + 88123484736 = 17808^2 + 296856^2 .

It is a super-2 number, since 2×88440609600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 875649550 + ... + 875649650.

Almost surely, 2^88440609600 is an apocalyptic number.

88440609600 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 88440609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198179178444).

88440609600 is an abundant number, since it is smaller than the sum of its proper divisors (307917747288).

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

88440609600 is a wasteful number, since it uses less digits than its factorization.

88440609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 88440609600 in words is "eighty-eight billion, four hundred forty million, six hundred nine thousand, six hundred".