1005100010496 has 264 divisors, whose sum is σ = 2950627680000. Its totient is φ = 329467944960.

The previous prime is 1005100010491. The next prime is 1005100010531. The reversal of 1005100010496 is 6940100015001.

1005100010496 is a `hidden beast` number, since 100 + 510 + 0 + 0 + 1 + 0 + 49 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1005100010491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287251755 + ... + 287255253.

It is an arithmetic number, because the mean of its divisors is an integer number (11176620000).

Almost surely, 2^{1005100010496} is an apocalyptic number.

1005100010496 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 1005100010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475313840000).

1005100010496 is an abundant number, since it is smaller than the sum of its proper divisors (1945527669504).

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

1005100010496 is a wasteful number, since it uses less digits than its factorization.

1005100010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1005100010496 its reverse (6940100015001), we get a palindrome (7945200025497).

The spelling of 1005100010496 in words is "one trillion, five billion, one hundred million, ten thousand, four hundred ninety-six".