685101312000 has 1152 divisors, whose sum is σ = 2855740043520. Its totient is φ = 154740326400.

The previous prime is 685101311969. The next prime is 685101312001. The reversal of 685101312000 is 213101586.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (685101312001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1725695802 + ... + 1725696198.

It is an arithmetic number, because the mean of its divisors is an integer number (2478941010).

Almost surely, 2^685101312000 is an apocalyptic number.

685101312000 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 685101312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427870021760).

685101312000 is an abundant number, since it is smaller than the sum of its proper divisors (2170638731520).

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

685101312000 is a wasteful number, since it uses less digits than its factorization.

685101312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 685101312000 its reverse (213101586), we get a palindrome (685314413586).

The spelling of 685101312000 in words is "six hundred eighty-five billion, one hundred one million, three hundred twelve thousand".