686125251840 has 1728 divisors, whose sum is σ = 2856142356480. Its totient is φ = 139345920000.

The previous prime is 686125251797. The next prime is 686125251887. The reversal of 686125251840 is 48152521686.

It is a super-2 number, since 2×686125251840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 686125251840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4543875765 + ... + 4543875915.

It is an arithmetic number, because the mean of its divisors is an integer number (1652860160).

Almost surely, 2^686125251840 is an apocalyptic number.

686125251840 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 686125251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428071178240).

686125251840 is an abundant number, since it is smaller than the sum of its proper divisors (2170017104640).

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

686125251840 is a wasteful number, since it uses less digits than its factorization.

686125251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 686125251840 in words is "six hundred eighty-six billion, one hundred twenty-five million, two hundred fifty-one thousand, eight hundred forty".