88684315200 has 252 divisors, whose sum is σ = 339452250228. Its totient is φ = 21829939200.

The previous prime is 88684315189. The next prime is 88684315201. The reversal of 88684315200 is 251348688.

88684315200 is a `hidden beast` number, since 8 + 8 + 6 + 8 + 431 + 5 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18276876864 + 70407438336 = 135192^2 + 265344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (88684315201) 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 35 ways as a sum of consecutive naturals, for example, 49671 + ... + 424070.

It is an arithmetic number, because the mean of its divisors is an integer number (1347032739).

Almost surely, 2^88684315200 is an apocalyptic number.

88684315200 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 88684315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169726125114).

88684315200 is an abundant number, since it is smaller than the sum of its proper divisors (250767935028).

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

88684315200 is a wasteful number, since it uses less digits than its factorization.

88684315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473782 (or 473764 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 88684315200 in words is "eighty-eight billion, six hundred eighty-four million, three hundred fifteen thousand, two hundred".