126278522548416 has 560 divisors, whose sum is σ = 450388132902400. Its totient is φ = 34175536422912.

The previous prime is 126278522548361. The next prime is 126278522548421. The reversal of 126278522548416 is 614845225872621.

126278522548416 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 85 + 2 + 2 + 548 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 7947535800 + ... + 7947551688.

It is an arithmetic number, because the mean of its divisors is an integer number (804264523040).

Almost surely, 2^{126278522548416} is an apocalyptic number.

126278522548416 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 126278522548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225194066451200).

126278522548416 is an abundant number, since it is smaller than the sum of its proper divisors (324109610353984).

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

126278522548416 is a wasteful number, since it uses less digits than its factorization.

126278522548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27466 (or 27447 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 126278522548416 in words is "one hundred twenty-six trillion, two hundred seventy-eight billion, five hundred twenty-two million, five hundred forty-eight thousand, four hundred sixteen".