1005628096000 has 960 divisors, whose sum is σ = 2934172200960. Its totient is φ = 342988800000.

The previous prime is 1005628095991. The next prime is 1005628096003. The reversal of 1005628096000 is 6908265001.

It is a super-2 number, since 2×1005628096000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005628096003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14163775965 + ... + 14163776035.

It is an arithmetic number, because the mean of its divisors is an integer number (3056429376).

Almost surely, 2^{1005628096000} is an apocalyptic number.

1005628096000 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 1005628096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467086100480).

1005628096000 is an abundant number, since it is smaller than the sum of its proper divisors (1928544104960).

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

1005628096000 is an equidigital number, since it uses as much as digits as its factorization.

1005628096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1005628096000 in words is "one trillion, five billion, six hundred twenty-eight million, ninety-six thousand".