1268056166400 has 1755 divisors, whose sum is σ = 5216119073011. Its totient is φ = 304419962880.

The previous prime is 1268056166381. The next prime is 1268056166401. The reversal of 1268056166400 is 46616508621.

The square root of 1268056166400 is 1126080.

It is a perfect power (a square), and thus also a powerful number.

1268056166400 is a `hidden beast` number, since 1 + 2 + 6 + 80 + 5 + 6 + 166 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29661106176 + 1238395060224 = 172224^2 + 1112832^2 .

It is a super-2 number, since 2×1268056166400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268056166401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55132876789 + ... + 55132876811.

Almost surely, 2^{1268056166400} is an apocalyptic number.

1268056166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1268056166400 is the 1126080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268056166400

1268056166400 is an abundant number, since it is smaller than the sum of its proper divisors (3948062906611).

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

1268056166400 is an equidigital number, since it uses as much as digits as its factorization.

1268056166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1268056166400 in words is "one trillion, two hundred sixty-eight billion, fifty-six million, one hundred sixty-six thousand, four hundred".