21182853120 has 416 divisors, whose sum is σ = 79658982144. Its totient is φ = 4738252800.

The previous prime is 21182853089. The next prime is 21182853127. The reversal of 21182853120 is 2135828112.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21182853127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8784715 + ... + 8787125.

Almost surely, 2^21182853120 is an apocalyptic number.

21182853120 is a gapful number since it is divisible by the number (20) 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 21182853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39829491072).

21182853120 is an abundant number, since it is smaller than the sum of its proper divisors (58476129024).

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

21182853120 is a wasteful number, since it uses less digits than its factorization.

21182853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 21182853120 in words is "twenty-one billion, one hundred eighty-two million, eight hundred fifty-three thousand, one hundred twenty".