21194392552704 has 288 divisors, whose sum is σ = 72298646461440. Its totient is φ = 5998945425408.

The previous prime is 21194392552687. The next prime is 21194392552727. The reversal of 21194392552704 is 40725529349112.

21194392552704 is a `hidden beast` number, since 2 + 1 + 1 + 94 + 3 + 9 + 25 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21194392552704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130147 + ... + 7224029.

It is an arithmetic number, because the mean of its divisors is an integer number (251036966880).

Almost surely, 2^{21194392552704} is an apocalyptic number.

21194392552704 is a gapful number since it is divisible by the number (24) 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 21194392552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36149323230720).

21194392552704 is an abundant number, since it is smaller than the sum of its proper divisors (51104253908736).

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

21194392552704 is a wasteful number, since it uses less digits than its factorization.

21194392552704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094022 (or 4094002 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 21194392552704 in words is "twenty-one trillion, one hundred ninety-four billion, three hundred ninety-two million, five hundred fifty-two thousand, seven hundred four".