21139743699072 has 320 divisors, whose sum is σ = 65665439199360. Its totient is φ = 6738296463360.

The previous prime is 21139743699059. The next prime is 21139743699083. The reversal of 21139743699072 is 27099634793112.

21139743699072 is a `hidden beast` number, since 2 + 1 + 139 + 74 + 369 + 9 + 0 + 72 = 666.

It is a super-2 number, since 2×21139743699072² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1011315373 + ... + 1011336275.

It is an arithmetic number, because the mean of its divisors is an integer number (205204497498).

Almost surely, 2^{21139743699072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21139743699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832719599680).

21139743699072 is an abundant number, since it is smaller than the sum of its proper divisors (44525695500288).

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

21139743699072 is a wasteful number, since it uses less digits than its factorization.

21139743699072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25193 (or 25172 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 21139743699072 in words is "twenty-one trillion, one hundred thirty-nine billion, seven hundred forty-three million, six hundred ninety-nine thousand, seventy-two".