10851221376 has 384 divisors, whose sum is σ = 33932021760. Its totient is φ = 3448811520.

The previous prime is 10851221371. The next prime is 10851221377. The reversal of 10851221376 is 67312215801.

10851221376 is a `hidden beast` number, since 1 + 0 + 8 + 512 + 2 + 137 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10851221376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10851221371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85442625 + ... + 85442751.

It is an arithmetic number, because the mean of its divisors is an integer number (88364640).

Almost surely, 2^10851221376 is an apocalyptic number.

10851221376 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 10851221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966010880).

10851221376 is an abundant number, since it is smaller than the sum of its proper divisors (23080800384).

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

10851221376 is an equidigital number, since it uses as much as digits as its factorization.

10851221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10851221376 in words is "ten billion, eight hundred fifty-one million, two hundred twenty-one thousand, three hundred seventy-six".