11293199573761 has 96 divisors (see below), whose sum is σ = 13749432238080. Its totient is φ = 9241819929216.

The previous prime is 11293199573759. The next prime is 11293199573807. The reversal of 11293199573761 is 16737599139211.

It is not a de Polignac number, because 11293199573761 - 2¹ = 11293199573759 is a prime.

It is a super-2 number, since 2×11293199573761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11293199573693 and 11293199573702.

It is not an unprimeable number, because it can be changed into a prime (11293199573861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9310139191 + ... + 9310140403.

It is an arithmetic number, because the mean of its divisors is an integer number (143223252480).

Almost surely, 2^{11293199573761} is an apocalyptic number.

It is an amenable number.

11293199573761 is a deficient number, since it is larger than the sum of its proper divisors (2456232664319).

11293199573761 is a wasteful number, since it uses less digits than its factorization.

11293199573761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1868 counting only the distinct ones).

The product of its digits is 19289340, while the sum is 64.

The spelling of 11293199573761 in words is "eleven trillion, two hundred ninety-three billion, one hundred ninety-nine million, five hundred seventy-three thousand, seven hundred sixty-one".