126284292288 has 672 divisors, whose sum is σ = 474909806592. Its totient is φ = 31126118400.

The previous prime is 126284292287. The next prime is 126284292377. The reversal of 126284292288 is 882292482621.

126284292288 is a `hidden beast` number, since 1 + 2 + 628 + 4 + 2 + 9 + 2 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126284292283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72869470 + ... + 72871202.

Almost surely, 2^126284292288 is an apocalyptic number.

126284292288 is a gapful number since it is divisible by the number (18) 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 126284292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237454903296).

126284292288 is an abundant number, since it is smaller than the sum of its proper divisors (348625514304).

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

126284292288 is a wasteful number, since it uses less digits than its factorization.

126284292288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1840 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 126284292288 in words is "one hundred twenty-six billion, two hundred eighty-four million, two hundred ninety-two thousand, two hundred eighty-eight".