1005638432860 has 48 divisors (see below), whose sum is σ = 2185068584160. Its totient is φ = 388312359680.

The previous prime is 1005638432807. The next prime is 1005638432863. The reversal of 1005638432860 is 682348365001.

It is a super-2 number, since 2×1005638432860² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005638432860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005638432863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3018375 + ... + 3334945.

It is an arithmetic number, because the mean of its divisors is an integer number (45522262170).

Almost surely, 2^{1005638432860} is an apocalyptic number.

1005638432860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005638432860 is an abundant number, since it is smaller than the sum of its proper divisors (1179430151300).

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

1005638432860 is a wasteful number, since it uses less digits than its factorization.

1005638432860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322086 (or 322084 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 1005638432860 in words is "one trillion, five billion, six hundred thirty-eight million, four hundred thirty-two thousand, eight hundred sixty".