21540514004000 has 96 divisors (see below), whose sum is σ = 52928244585216. Its totient is φ = 8615684371200.

The previous prime is 21540514003961. The next prime is 21540514004017. The reversal of 21540514004000 is 40041504512.

It is a super-2 number, since 2×21540514004000² (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 15 ways as a sum of consecutive naturals, for example, 69713849 + ... + 70022151.

It is an arithmetic number, because the mean of its divisors is an integer number (551335881096).

Almost surely, 2^{21540514004000} is an apocalyptic number.

21540514004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21540514004000 is an abundant number, since it is smaller than the sum of its proper divisors (31387730581216).

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

21540514004000 is a wasteful number, since it uses less digits than its factorization.

21540514004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325795 (or 325777 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 21540514004000 its reverse (40041504512), we get a palindrome (21580555508512).

The spelling of 21540514004000 in words is "twenty-one trillion, five hundred forty billion, five hundred fourteen million, four thousand".