686125212480 has 336 divisors, whose sum is σ = 2439770533200. Its totient is φ = 176863150080.

The previous prime is 686125212473. The next prime is 686125212481. The reversal of 686125212480 is 84212521686.

686125212480 is a `hidden beast` number, since 6 + 8 + 612 + 5 + 2 + 1 + 24 + 8 + 0 = 666.

686125212480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 83179174464 + 602946038016 = 288408^2 + 776496^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686125212481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12844066 + ... + 12897374.

It is an arithmetic number, because the mean of its divisors is an integer number (7261221825).

Almost surely, 2^686125212480 is an apocalyptic number.

686125212480 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 686125212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219885266600).

686125212480 is an abundant number, since it is smaller than the sum of its proper divisors (1753645320720).

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

686125212480 is a wasteful number, since it uses less digits than its factorization.

686125212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53482 (or 53469 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 686125212480 in words is "six hundred eighty-six billion, one hundred twenty-five million, two hundred twelve thousand, four hundred eighty".