688138263200 has 36 divisors (see below), whose sum is σ = 1679917536990. Its totient is φ = 275255304960.

The previous prime is 688138263179. The next prime is 688138263209. The reversal of 688138263200 is 2362831886.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 262361132944 + 425777130256 = 512212^2 + 652516^2 .

It is not an unprimeable number, because it can be changed into a prime (688138263209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430085615 + ... + 430087214.

Almost surely, 2^688138263200 is an apocalyptic number.

It is an amenable number.

688138263200 is an abundant number, since it is smaller than the sum of its proper divisors (991779273790).

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

688138263200 is a wasteful number, since it uses less digits than its factorization.

688138263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860172849 (or 860172836 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 688138263200 in words is "six hundred eighty-eight billion, one hundred thirty-eight million, two hundred sixty-three thousand, two hundred".