1005360712512 has 224 divisors, whose sum is σ = 2881525457664. Its totient is φ = 307523174400.

The previous prime is 1005360712507. The next prime is 1005360712519. The reversal of 1005360712512 is 2152170635001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005360712519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360213837 + ... + 360216627.

It is an arithmetic number, because the mean of its divisors is an integer number (12863952936).

Almost surely, 2^{1005360712512} is an apocalyptic number.

1005360712512 is a gapful number since it is divisible by the number (12) 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 1005360712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440762728832).

1005360712512 is an abundant number, since it is smaller than the sum of its proper divisors (1876164745152).

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

1005360712512 is a wasteful number, since it uses less digits than its factorization.

1005360712512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 1005360712512 in words is "one trillion, five billion, three hundred sixty million, seven hundred twelve thousand, five hundred twelve".