21160510506401 has 16 divisors (see below), whose sum is σ = 24515731244928. Its totient is φ = 17888382921600.

The previous prime is 21160510506347. The next prime is 21160510506403. The reversal of 21160510506401 is 10460501506112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21160510506401 is a prime.

It is a super-3 number, since 3×21160510506401³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21160510506403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11734931 + ... + 13417511.

It is an arithmetic number, because the mean of its divisors is an integer number (1532233202808).

Almost surely, 2^{21160510506401} is an apocalyptic number.

It is an amenable number.

21160510506401 is a deficient number, since it is larger than the sum of its proper divisors (3355220738527).

21160510506401 is a wasteful number, since it uses less digits than its factorization.

21160510506401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707272.

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 21160510506401 in words is "twenty-one trillion, one hundred sixty billion, five hundred ten million, five hundred six thousand, four hundred one".