1129931830080 has 1120 divisors, whose sum is σ = 4504915958400. Its totient is φ = 268089606144.

The previous prime is 1129931830073. The next prime is 1129931830087. The reversal of 1129931830080 is 800381399211.

1129931830080 is a `hidden beast` number, since 1 + 1 + 29 + 9 + 318 + 300 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1129931830073) and next prime (1129931830087).

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 not an unprimeable number, because it can be changed into a prime (1129931830087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2419554007 + ... + 2419554473.

Almost surely, 2^{1129931830080} is an apocalyptic number.

1129931830080 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 1129931830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252457979200).

1129931830080 is an abundant number, since it is smaller than the sum of its proper divisors (3374984128320).

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

1129931830080 is an equidigital number, since it uses as much as digits as its factorization.

1129931830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1129931830080 in words is "one trillion, one hundred twenty-nine billion, nine hundred thirty-one million, eight hundred thirty thousand, eighty".