10954836672 has 112 divisors (see below), whose sum is σ = 31590935040. Its totient is φ = 3330044928.

The previous prime is 10954836667. The next prime is 10954836689. The reversal of 10954836672 is 27663845901.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180729 + ... + 233607.

It is an arithmetic number, because the mean of its divisors is an integer number (282061920).

It is a 1-persistent number, because it is pandigital, but 2⋅10954836672 = 21909673344 is not.

Almost surely, 2^10954836672 is an apocalyptic number.

10954836672 is a gapful number since it is divisible by the number (12) 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 10954836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795467520).

10954836672 is an abundant number, since it is smaller than the sum of its proper divisors (20636098368).

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

10954836672 is a wasteful number, since it uses less digits than its factorization.

10954836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52990 (or 52980 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 10954836672 in words is "ten billion, nine hundred fifty-four million, eight hundred thirty-six thousand, six hundred seventy-two".