1005936949000 has 128 divisors (see below), whose sum is σ = 2513613772800. Its totient is φ = 375967200000.

The previous prime is 1005936948997. The next prime is 1005936949049. The reversal of 1005936949000 is 9496395001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 339525 + ... + 1458475.

It is an arithmetic number, because the mean of its divisors is an integer number (19637607600).

Almost surely, 2^{1005936949000} is an apocalyptic number.

1005936949000 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 1005936949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256806886400).

1005936949000 is an abundant number, since it is smaller than the sum of its proper divisors (1507676823800).

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

1005936949000 is a wasteful number, since it uses less digits than its factorization.

1005936949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119032 (or 1119018 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 1005936949000 in words is "one trillion, five billion, nine hundred thirty-six million, nine hundred forty-nine thousand".