1060226020800 has 672 divisors, whose sum is σ = 3918198147840. Its totient is φ = 278854963200.

The previous prime is 1060226020771. The next prime is 1060226020813. The reversal of 1060226020800 is 80206220601.

1060226020800 is a `hidden beast` number, since 10 + 602 + 26 + 0 + 20 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1060226020800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1603972470 + ... + 1603973130.

Almost surely, 2^{1060226020800} is an apocalyptic number.

1060226020800 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 1060226020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959099073920).

1060226020800 is an abundant number, since it is smaller than the sum of its proper divisors (2857972127040).

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

1060226020800 is a wasteful number, since it uses less digits than its factorization.

1060226020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1060226020800 in words is "one trillion, sixty billion, two hundred twenty-six million, twenty thousand, eight hundred".