1126283304960 has 1120 divisors, whose sum is σ = 4457702633472. Its totient is φ = 270888468480.

The previous prime is 1126283304953. The next prime is 1126283304967. The reversal of 1126283304960 is 694033826211.

1126283304960 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 283 + 304 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1126283304953) and next prime (1126283304967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126283304967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8868372417 + ... + 8868372543.

Almost surely, 2^{1126283304960} is an apocalyptic number.

1126283304960 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 1126283304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228851316736).

1126283304960 is an abundant number, since it is smaller than the sum of its proper divisors (3331419328512).

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

1126283304960 is an frugal number, since it uses more digits than its factorization.

1126283304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1126283304960 in words is "one trillion, one hundred twenty-six billion, two hundred eighty-three million, three hundred four thousand, nine hundred sixty".