21376005847560 has 1280 divisors, whose sum is σ = 93980305520640. Its totient is φ = 4228869980160.

The previous prime is 21376005847513. The next prime is 21376005847561. The reversal of 21376005847560 is 6574850067312.

21376005847560 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 6 + 0 + 0 + 584 + 7 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21376005847497 and 21376005847506.

It is not an unprimeable number, because it can be changed into a prime (21376005847561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1358320012 + ... + 1358335748.

It is an arithmetic number, because the mean of its divisors is an integer number (73422113688).

Almost surely, 2^{21376005847560} is an apocalyptic number.

21376005847560 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 21376005847560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46990152760320).

21376005847560 is an abundant number, since it is smaller than the sum of its proper divisors (72604299673080).

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

21376005847560 is a wasteful number, since it uses less digits than its factorization.

21376005847560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16068 (or 16055 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 21376005847560 in words is "twenty-one trillion, three hundred seventy-six billion, five million, eight hundred forty-seven thousand, five hundred sixty".