685591216128000 has 4320 divisors, whose sum is σ = 3206322144593568. Its totient is φ = 144473849856000.

The previous prime is 685591216127989. The next prime is 685591216128097. The reversal of 685591216128000 is 821612195586.

685591216128000 is a `hidden beast` number, since 6 + 8 + 5 + 5 + 9 + 12 + 1 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 845365247595 + ... + 845365248405.

Almost surely, 2^{685591216128000} is an apocalyptic number.

685591216128000 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 685591216128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603161072296784).

685591216128000 is an abundant number, since it is smaller than the sum of its proper divisors (2520730928465568).

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

685591216128000 is an frugal number, since it uses more digits than its factorization.

685591216128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 685591216128000 in words is "six hundred eighty-five trillion, five hundred ninety-one billion, two hundred sixteen million, one hundred twenty-eight thousand".