21159038514240 has 896 divisors, whose sum is σ = 83814635520000. Its totient is φ = 4981400985600.

The previous prime is 21159038514227. The next prime is 21159038514241. The reversal of 21159038514240 is 4241583095112.

21159038514240 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 90 + 3 + 8 + 514 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21159038514241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 457974661 + ... + 458020859.

It is an arithmetic number, because the mean of its divisors is an integer number (93543120000).

Almost surely, 2^{21159038514240} is an apocalyptic number.

21159038514240 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 21159038514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41907317760000).

21159038514240 is an abundant number, since it is smaller than the sum of its proper divisors (62655597005760).

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

21159038514240 is a wasteful number, since it uses less digits than its factorization.

21159038514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46376 (or 46360 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 21159038514240 in words is "twenty-one trillion, one hundred fifty-nine billion, thirty-eight million, five hundred fourteen thousand, two hundred forty".