10910972160 has 504 divisors, whose sum is σ = 42787329984. Its totient is φ = 2642595840.

The previous prime is 10910972159. The next prime is 10910972161. The reversal of 10910972160 is 6127901901.

It is an interprime number because it is at equal distance from previous prime (10910972159) and next prime (10910972161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10910972161) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 10263789 + ... + 10264851.

It is an arithmetic number, because the mean of its divisors is an integer number (84895496).

Almost surely, 2^10910972160 is an apocalyptic number.

10910972160 is a gapful number since it is divisible by the number (10) 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 10910972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21393664992).

10910972160 is an abundant number, since it is smaller than the sum of its proper divisors (31876357824).

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

10910972160 is an equidigital number, since it uses as much as digits as its factorization.

10910972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10910972160 in words is "ten billion, nine hundred ten million, nine hundred seventy-two thousand, one hundred sixty".