21282693120 has 336 divisors, whose sum is σ = 79468428312. Its totient is φ = 5237637120.

The previous prime is 21282693119. The next prime is 21282693127. The reversal of 21282693120 is 2139628212.

It is a happy number.

21282693120 is a `hidden beast` number, since 2 + 1 + 282 + 69 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12103520256 + 9179172864 = 110016^2 + 95808^2 .

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 (21282693127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4790100 + ... + 4794540.

Almost surely, 2^21282693120 is an apocalyptic number.

21282693120 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 21282693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39734214156).

21282693120 is an abundant number, since it is smaller than the sum of its proper divisors (58185735192).

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

21282693120 is a wasteful number, since it uses less digits than its factorization.

21282693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21282693120 in words is "twenty-one billion, two hundred eighty-two million, six hundred ninety-three thousand, one hundred twenty".