1133375268480 has 2304 divisors, whose sum is σ = 5090909564160. Its totient is φ = 211805798400.

The previous prime is 1133375268437. The next prime is 1133375268559. The reversal of 1133375268480 is 848625733311.

It is a super-2 number, since 2×1133375268480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7505796405 + ... + 7505796555.

It is an arithmetic number, because the mean of its divisors is an integer number (2209596165).

Almost surely, 2^{1133375268480} is an apocalyptic number.

1133375268480 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 1133375268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545454782080).

1133375268480 is an abundant number, since it is smaller than the sum of its proper divisors (3957534295680).

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

1133375268480 is a wasteful number, since it uses less digits than its factorization.

1133375268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1133375268480 in words is "one trillion, one hundred thirty-three billion, three hundred seventy-five million, two hundred sixty-eight thousand, four hundred eighty".