686603016871200 has 4536 divisors, whose sum is σ = 3072188966227920. Its totient is φ = 148463497728000.

The previous prime is 686603016871157. The next prime is 686603016871201. The reversal of 686603016871200 is 2178610306686.

686603016871200 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 0 + 301 + 68 + 71 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (686603016871201) by changing a digit.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 1041886216471 + ... + 1041886217129.

It is an arithmetic number, because the mean of its divisors is an integer number (677290336470).

Almost surely, 2^{686603016871200} is an apocalyptic number.

686603016871200 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 686603016871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536094483113960).

686603016871200 is an abundant number, since it is smaller than the sum of its proper divisors (2385585949356720).

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

686603016871200 is a wasteful number, since it uses less digits than its factorization.

686603016871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 686603016871200 in words is "six hundred eighty-six trillion, six hundred three billion, sixteen million, eight hundred seventy-one thousand, two hundred".