126127784826 has 72 divisors (see below), whose sum is σ = 283959299520. Its totient is φ = 42015016872.

The previous prime is 126127784821. The next prime is 126127784863. The reversal of 126127784826 is 628487721621.

126127784826 is a `hidden beast` number, since 12 + 61 + 27 + 78 + 482 + 6 = 666.

It is a super-2 number, since 2×126127784826² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126127784821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33839775 + ... + 33843501.

It is an arithmetic number, because the mean of its divisors is an integer number (3943879160).

Almost surely, 2^126127784826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126127784826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141979649760).

126127784826 is an abundant number, since it is smaller than the sum of its proper divisors (157831514694).

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

126127784826 is an frugal number, since it uses more digits than its factorization.

126127784826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6311 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 126127784826 in words is "one hundred twenty-six billion, one hundred twenty-seven million, seven hundred eighty-four thousand, eight hundred twenty-six".