1133235506760 has 768 divisors, whose sum is σ = 4326387552000. Its totient is φ = 235835228160.

The previous prime is 1133235506699. The next prime is 1133235506857. The reversal of 1133235506760 is 676055323311.

It is a super-3 number, since 3×1133235506760³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 832648480 + ... + 832649840.

It is an arithmetic number, because the mean of its divisors is an integer number (5633317125).

Almost surely, 2^{1133235506760} is an apocalyptic number.

1133235506760 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 1133235506760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163193776000).

1133235506760 is an abundant number, since it is smaller than the sum of its proper divisors (3193152045240).

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

1133235506760 is a wasteful number, since it uses less digits than its factorization.

1133235506760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 1133235506760 in words is "one trillion, one hundred thirty-three billion, two hundred thirty-five million, five hundred six thousand, seven hundred sixty".