1005377229120 has 1344 divisors, whose sum is σ = 3860552908800. Its totient is φ = 220796928000.

The previous prime is 1005377229083. The next prime is 1005377229127. The reversal of 1005377229120 is 219227735001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005377229127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5052146781 + ... + 5052146979.

It is an arithmetic number, because the mean of its divisors is an integer number (2872435200).

Almost surely, 2^{1005377229120} is an apocalyptic number.

1005377229120 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 1005377229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930276454400).

1005377229120 is an abundant number, since it is smaller than the sum of its proper divisors (2855175679680).

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

1005377229120 is a wasteful number, since it uses less digits than its factorization.

1005377229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 1005377229120 in words is "one trillion, five billion, three hundred seventy-seven million, two hundred twenty-nine thousand, one hundred twenty".