2686865126400 has 2640 divisors, whose sum is σ = 12693146336640. Its totient is φ = 546236006400.

The previous prime is 2686865126377. The next prime is 2686865126431. The reversal of 2686865126400 is 46215686862.

2686865126400 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 86 + 512 + 6 + 40 + 0 = 666.

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, 5472230155 + ... + 5472230645.

It is an arithmetic number, because the mean of its divisors is an integer number (4808009976).

Almost surely, 2^{2686865126400} is an apocalyptic number.

2686865126400 is a gapful number since it is divisible by the number (20) 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 2686865126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346573168320).

2686865126400 is an abundant number, since it is smaller than the sum of its proper divisors (10006281210240).

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

2686865126400 is a wasteful number, since it uses less digits than its factorization.

2686865126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2686865126400 in words is "two trillion, six hundred eighty-six billion, eight hundred sixty-five million, one hundred twenty-six thousand, four hundred".