21138648995079 has 384 divisors, whose sum is σ = 41810799034368. Its totient is φ = 9957442682880.

The previous prime is 21138648994993. The next prime is 21138648995081. The reversal of 21138648995079 is 97059984683112.

21138648995079 is a `hidden beast` number, since 2 + 1 + 1 + 38 + 6 + 4 + 89 + 9 + 507 + 9 = 666.

It is not a de Polignac number, because 21138648995079 - 2¹² = 21138648990983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21138648994998 and 21138648995016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21138648995089) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16223060742 + ... + 16223062044.

It is an arithmetic number, because the mean of its divisors is an integer number (108882289152).

It is a 1-persistent number, because it is pandigital, but 2⋅21138648995079 = 42277297990158 is not.

Almost surely, 2^{21138648995079} is an apocalyptic number.

21138648995079 is a deficient number, since it is larger than the sum of its proper divisors (20672150039289).

21138648995079 is a wasteful number, since it uses less digits than its factorization.

21138648995079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 21138648995079 in words is "twenty-one trillion, one hundred thirty-eight billion, six hundred forty-eight million, nine hundred ninety-five thousand, seventy-nine".