126027830016 has 720 divisors, whose sum is σ = 427999128480. Its totient is φ = 36548444160.

The previous prime is 126027830011. The next prime is 126027830021. The reversal of 126027830016 is 610038720621.

126027830016 is a `hidden beast` number, since 1 + 2 + 602 + 7 + 8 + 30 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (126027830011) and next prime (126027830021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126027830011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 919911100 + ... + 919911236.

It is an arithmetic number, because the mean of its divisors is an integer number (594443234).

Almost surely, 2^126027830016 is an apocalyptic number.

126027830016 is a gapful number since it is divisible by the number (16) 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 126027830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213999564240).

126027830016 is an abundant number, since it is smaller than the sum of its proper divisors (301971298464).

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

126027830016 is a wasteful number, since it uses less digits than its factorization.

126027830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 126027830016 in words is "one hundred twenty-six billion, twenty-seven million, eight hundred thirty thousand, sixteen".