21052814112 has 768 divisors, whose sum is σ = 76117708800. Its totient is φ = 5583790080.

The previous prime is 21052814099. The next prime is 21052814113. The reversal of 21052814112 is 21141825012.

21052814112 is a `hidden beast` number, since 2 + 10 + 528 + 14 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21052814113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153670108 + ... + 153670244.

It is an arithmetic number, because the mean of its divisors is an integer number (99111600).

Almost surely, 2^21052814112 is an apocalyptic number.

21052814112 is a gapful number since it is divisible by the number (22) 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 21052814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38058854400).

21052814112 is an abundant number, since it is smaller than the sum of its proper divisors (55064894688).

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

21052814112 is a wasteful number, since it uses less digits than its factorization.

21052814112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 21052814112 in words is "twenty-one billion, fifty-two million, eight hundred fourteen thousand, one hundred twelve".