10821137616 has 120 divisors (see below), whose sum is σ = 30894689280. Its totient is φ = 3535031808.

The previous prime is 10821137611. The next prime is 10821137641. The reversal of 10821137616 is 61673112801.

10821137616 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 1 + 37 + 616 = 666.

10821137616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821137611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514340 + ... + 1521468.

It is an arithmetic number, because the mean of its divisors is an integer number (257455744).

Almost surely, 2^10821137616 is an apocalyptic number.

10821137616 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 10821137616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447344640).

10821137616 is an abundant number, since it is smaller than the sum of its proper divisors (20073551664).

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

10821137616 is a wasteful number, since it uses less digits than its factorization.

10821137616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10821137616 in words is "ten billion, eight hundred twenty-one million, one hundred thirty-seven thousand, six hundred sixteen".