2126679758784 has 560 divisors, whose sum is σ = 7449048262656. Its totient is φ = 587081779200.

The previous prime is 2126679758747. The next prime is 2126679758807. The reversal of 2126679758784 is 4878579766212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 993310354 + ... + 993312494.

Almost surely, 2^{2126679758784} is an apocalyptic number.

2126679758784 is a gapful number since it is divisible by the number (24) 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 2126679758784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724524131328).

2126679758784 is an abundant number, since it is smaller than the sum of its proper divisors (5322368503872).

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

2126679758784 is a wasteful number, since it uses less digits than its factorization.

2126679758784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3067 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 2126679758784 in words is "two trillion, one hundred twenty-six billion, six hundred seventy-nine million, seven hundred fifty-eight thousand, seven hundred eighty-four".