126220775051664 has 160 divisors (see below), whose sum is σ = 363260113356800. Its totient is φ = 41962209045120.

The previous prime is 126220775051647. The next prime is 126220775051669. The reversal of 126220775051664 is 466150577022621.

126220775051664 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 2 + 0 + 77 + 50 + 516 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126220775051664.

It is not an unprimeable number, because it can be changed into a prime (126220775051669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517806837 + ... + 518050539.

It is an arithmetic number, because the mean of its divisors is an integer number (2270375708480).

Almost surely, 2^{126220775051664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126220775051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181630056678400).

126220775051664 is an abundant number, since it is smaller than the sum of its proper divisors (237039338305136).

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

126220775051664 is a wasteful number, since it uses less digits than its factorization.

126220775051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246890 (or 246878 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 126220775051664 in words is "one hundred twenty-six trillion, two hundred twenty billion, seven hundred seventy-five million, fifty-one thousand, six hundred sixty-four".