21514050011540 has 96 divisors (see below), whose sum is σ = 50363634384000. Its totient is φ = 7671786393600.

The previous prime is 21514050011527. The next prime is 21514050011611. The reversal of 21514050011540 is 4511005041512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37187411 + ... + 37761509.

It is an arithmetic number, because the mean of its divisors is an integer number (524621191500).

Almost surely, 2^{21514050011540} is an apocalyptic number.

21514050011540 is a gapful number since it is divisible by the number (20) 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 21514050011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181817192000).

21514050011540 is an abundant number, since it is smaller than the sum of its proper divisors (28849584372460).

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

21514050011540 is a wasteful number, since it uses less digits than its factorization.

21514050011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579945 (or 579943 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 21514050011540 in words is "twenty-one trillion, five hundred fourteen billion, fifty million, eleven thousand, five hundred forty".