1005316877856 has 288 divisors, whose sum is σ = 2929432117248. Its totient is φ = 301244106240.

The previous prime is 1005316877849. The next prime is 1005316877857. The reversal of 1005316877856 is 6587786135001.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 1005316877796 and 1005316877805.

It is not an unprimeable number, because it can be changed into a prime (1005316877857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101225211 + ... + 101235141.

It is an arithmetic number, because the mean of its divisors is an integer number (10171639296).

Almost surely, 2^{1005316877856} is an apocalyptic number.

1005316877856 is a gapful number since it is divisible by the number (16) 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 1005316877856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464716058624).

1005316877856 is an abundant number, since it is smaller than the sum of its proper divisors (1924115239392).

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

1005316877856 is a wasteful number, since it uses less digits than its factorization.

1005316877856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 1005316877856 in words is "one trillion, five billion, three hundred sixteen million, eight hundred seventy-seven thousand, eight hundred fifty-six".