1005578262312 has 128 divisors (see below), whose sum is σ = 2770960536960. Its totient is φ = 302139694080.

The previous prime is 1005578262187. The next prime is 1005578262317. The reversal of 1005578262312 is 2132628755001.

It is a super-2 number, since 2×1005578262312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005578262317) 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, 84206262 + ... + 84218202.

It is an arithmetic number, because the mean of its divisors is an integer number (21648129195).

Almost surely, 2^{1005578262312} is an apocalyptic number.

1005578262312 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 1005578262312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385480268480).

1005578262312 is an abundant number, since it is smaller than the sum of its proper divisors (1765382274648).

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

1005578262312 is a wasteful number, since it uses less digits than its factorization.

1005578262312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283 (or 18279 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1005578262312 in words is "one trillion, five billion, five hundred seventy-eight million, two hundred sixty-two thousand, three hundred twelve".