21487336374960 has 240 divisors, whose sum is σ = 74138310844416. Its totient is φ = 5574459843072.

The previous prime is 21487336374947. The next prime is 21487336375031. The reversal of 21487336374960 is 6947363378412.

It is a happy number.

21487336374960 is a `hidden beast` number, since 2 + 1 + 4 + 87 + 3 + 3 + 63 + 7 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3750177 + ... + 7552383.

Almost surely, 2^{21487336374960} is an apocalyptic number.

21487336374960 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 21487336374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37069155422208).

21487336374960 is an abundant number, since it is smaller than the sum of its proper divisors (52650974469456).

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

21487336374960 is a wasteful number, since it uses less digits than its factorization.

21487336374960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802440 (or 3802431 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 21487336374960 in words is "twenty-one trillion, four hundred eighty-seven billion, three hundred thirty-six million, three hundred seventy-four thousand, nine hundred sixty".