10991738016 has 144 divisors (see below), whose sum is σ = 37293540480. Its totient is φ = 3140484480.

The previous prime is 10991737987. The next prime is 10991738027. The reversal of 10991738016 is 61083719901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10991738016² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87480 + ... + 172151.

It is an arithmetic number, because the mean of its divisors is an integer number (258982920).

Almost surely, 2^10991738016 is an apocalyptic number.

10991738016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10991738016 is an abundant number, since it is smaller than the sum of its proper divisors (26301802464).

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

10991738016 is a wasteful number, since it uses less digits than its factorization.

10991738016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259664 (or 259643 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 10991738016 in words is "ten billion, nine hundred ninety-one million, seven hundred thirty-eight thousand, sixteen".