21580414406540 has 96 divisors (see below), whose sum is σ = 50876713440000. Its totient is φ = 7620028197120.

The previous prime is 21580414406521. The next prime is 21580414406587. The reversal of 21580414406540 is 4560441408512.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 21580414406491 and 21580414406500.

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 31 ways as a sum of consecutive naturals, for example, 1405391 + ... + 6718329.

It is an arithmetic number, because the mean of its divisors is an integer number (529965765000).

Almost surely, 2^{21580414406540} is an apocalyptic number.

21580414406540 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 21580414406540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25438356720000).

21580414406540 is an abundant number, since it is smaller than the sum of its proper divisors (29296299033460).

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

21580414406540 is a wasteful number, since it uses less digits than its factorization.

21580414406540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313495 (or 5313493 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 21580414406540 in words is "twenty-one trillion, five hundred eighty billion, four hundred fourteen million, four hundred six thousand, five hundred forty".