21294393120 has 1728 divisors, whose sum is σ = 105406479360. Its totient is φ = 3795517440.

The previous prime is 21294393091. The next prime is 21294393167. The reversal of 21294393120 is 2139349212.

21294393120 is a `hidden beast` number, since 21 + 294 + 39 + 312 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 269549241 + ... + 269549319.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 2^21294393120 is an apocalyptic number.

21294393120 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 21294393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52703239680).

21294393120 is an abundant number, since it is smaller than the sum of its proper divisors (84112086240).

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

21294393120 is a wasteful number, since it uses less digits than its factorization.

21294393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 21294 and 393120, that added together give a palindrome (414414).

The spelling of 21294393120 in words is "twenty-one billion, two hundred ninety-four million, three hundred ninety-three thousand, one hundred twenty".