1126353833280 has 672 divisors, whose sum is σ = 4581311664384. Its totient is φ = 260943151104.

The previous prime is 1126353833257. The next prime is 1126353833291. The reversal of 1126353833280 is 823383536211.

1126353833280 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 538 + 3 + 32 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 17152189 + ... + 17217731.

It is an arithmetic number, because the mean of its divisors is an integer number (6817428072).

Almost surely, 2^{1126353833280} is an apocalyptic number.

1126353833280 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 1126353833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290655832192).

1126353833280 is an abundant number, since it is smaller than the sum of its proper divisors (3454957831104).

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

1126353833280 is a wasteful number, since it uses less digits than its factorization.

1126353833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65605 (or 65583 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1126353833280 in words is "one trillion, one hundred twenty-six billion, three hundred fifty-three million, eight hundred thirty-three thousand, two hundred eighty".