1226293580160 has 768 divisors, whose sum is σ = 4983758694720. Its totient is φ = 274504089600.

The previous prime is 1226293580159. The next prime is 1226293580221. The reversal of 1226293580160 is 610853926221.

1226293580160 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 2 + 9 + 3 + 580 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57076620 + ... + 57098100.

Almost surely, 2^{1226293580160} is an apocalyptic number.

1226293580160 is a gapful number since it is divisible by the number (10) 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 1226293580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491879347360).

1226293580160 is an abundant number, since it is smaller than the sum of its proper divisors (3757465114560).

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

1226293580160 is a wasteful number, since it uses less digits than its factorization.

1226293580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21587 (or 21572 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1226293580160 in words is "one trillion, two hundred twenty-six billion, two hundred ninety-three million, five hundred eighty thousand, one hundred sixty".