688010400000 has 2592 divisors, whose sum is σ = 3317966136576. Its totient is φ = 132710400000.

The previous prime is 688010399929. The next prime is 688010400013. The reversal of 688010400000 is 4010886.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9424799964 + ... + 9424800036.

It is an arithmetic number, because the mean of its divisors is an integer number (1280079528).

Almost surely, 2^688010400000 is an apocalyptic number.

688010400000 is a gapful number since it is divisible by the number (60) 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 688010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658983068288).

688010400000 is an abundant number, since it is smaller than the sum of its proper divisors (2629955736576).

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

688010400000 is a wasteful number, since it uses less digits than its factorization.

688010400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 688010400000 its reverse (4010886), we get a palindrome (688014410886).

The spelling of 688010400000 in words is "six hundred eighty-eight billion, ten million, four hundred thousand".