126213867584 has 336 divisors, whose sum is σ = 330987928320. Its totient is φ = 47300198400.

The previous prime is 126213867569. The next prime is 126213867631. The reversal of 126213867584 is 485768312621.

It is a super-2 number, since 2×126213867584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53684009 + ... + 53686359.

It is an arithmetic number, because the mean of its divisors is an integer number (985083120).

Almost surely, 2^126213867584 is an apocalyptic number.

126213867584 is a gapful number since it is divisible by the number (14) 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 126213867584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165493964160).

126213867584 is an abundant number, since it is smaller than the sum of its proper divisors (204774060736).

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

126213867584 is a wasteful number, since it uses less digits than its factorization.

126213867584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2449 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The spelling of 126213867584 in words is "one hundred twenty-six billion, two hundred thirteen million, eight hundred sixty-seven thousand, five hundred eighty-four".