685550100268800 has 2160 divisors, whose sum is σ = 2892983938115040. Its totient is φ = 158679595745280.

The previous prime is 685550100268769. The next prime is 685550100268801. The reversal of 685550100268800 is 8862001055586.

685550100268800 is a `hidden beast` number, since 6 + 8 + 5 + 550 + 1 + 0 + 0 + 2 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×685550100268800³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685550100268801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 174484625236 + ... + 174484629164.

It is an arithmetic number, because the mean of its divisors is an integer number (1339344415794).

Almost surely, 2^{685550100268800} is an apocalyptic number.

685550100268800 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 685550100268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446491969057520).

685550100268800 is an abundant number, since it is smaller than the sum of its proper divisors (2207433837846240).

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

685550100268800 is a wasteful number, since it uses less digits than its factorization.

685550100268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 685550100268800 in words is "six hundred eighty-five trillion, five hundred fifty billion, one hundred million, two hundred sixty-eight thousand, eight hundred".