10958294016 has 132 divisors (see below), whose sum is σ = 31704345400. Its totient is φ = 3645554688.

The previous prime is 10958293987. The next prime is 10958294029. The reversal of 10958294016 is 61049285901.

10958294016 is a `hidden beast` number, since 10 + 9 + 582 + 9 + 40 + 16 = 666.

It is a super-2 number, since 2×10958294016² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6809820 + ... + 6811428.

Almost surely, 2^10958294016 is an apocalyptic number.

10958294016 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 10958294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852172700).

10958294016 is an abundant number, since it is smaller than the sum of its proper divisors (20746051384).

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

10958294016 is a wasteful number, since it uses less digits than its factorization.

10958294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10958294016 in words is "ten billion, nine hundred fifty-eight million, two hundred ninety-four thousand, sixteen".