1005268707700 has 144 divisors (see below), whose sum is σ = 2214413268480. Its totient is φ = 396089758080.

The previous prime is 1005268707683. The next prime is 1005268707701. The reversal of 1005268707700 is 77078625001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005268707701) 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, 1563403579 + ... + 1563404221.

It is an arithmetic number, because the mean of its divisors is an integer number (15377869920).

Almost surely, 2^{1005268707700} is an apocalyptic number.

1005268707700 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 1005268707700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107206634240).

1005268707700 is an abundant number, since it is smaller than the sum of its proper divisors (1209144560780).

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

1005268707700 is a wasteful number, since it uses less digits than its factorization.

1005268707700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 1005268707700 in words is "one trillion, five billion, two hundred sixty-eight million, seven hundred seven thousand, seven hundred".