10954799206416 has 120 divisors (see below), whose sum is σ = 33031319532120. Its totient is φ = 3369199362048.

The previous prime is 10954799206409. The next prime is 10954799206459. The reversal of 10954799206416 is 61460299745901.

10954799206416 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 4 + 7 + 9 + 9 + 206 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4477794566400 + 6477004640016 = 2116080^2 + 2544996^2 .

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, 2879680 + ... + 5495648.

It is an arithmetic number, because the mean of its divisors is an integer number (275260996101).

Almost surely, 2^{10954799206416} is an apocalyptic number.

10954799206416 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 10954799206416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515659766060).

10954799206416 is an abundant number, since it is smaller than the sum of its proper divisors (22076520325704).

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

10954799206416 is a wasteful number, since it uses less digits than its factorization.

10954799206416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618233 (or 2618224 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 10954799206416 in words is "ten trillion, nine hundred fifty-four billion, seven hundred ninety-nine million, two hundred six thousand, four hundred sixteen".