1001260468596 has 96 divisors (see below), whose sum is σ = 2448602247168. Its totient is φ = 317836379520.

The previous prime is 1001260468589. The next prime is 1001260468597. The reversal of 1001260468596 is 6958640621001.

It is a super-2 number, since 2×1001260468596² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001260468597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126625675 + ... + 126633581.

It is an arithmetic number, because the mean of its divisors is an integer number (25506273408).

Almost surely, 2^{1001260468596} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001260468596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224301123584).

1001260468596 is an abundant number, since it is smaller than the sum of its proper divisors (1447341778572).

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

1001260468596 is a wasteful number, since it uses less digits than its factorization.

1001260468596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1001260468596 in words is "one trillion, one billion, two hundred sixty million, four hundred sixty-eight thousand, five hundred ninety-six".