21870008746560 has 1344 divisors, whose sum is σ = 84994430976000. Its totient is φ = 5124474077184.

The previous prime is 21870008746541. The next prime is 21870008746567. The reversal of 21870008746560 is 6564780007812.

21870008746560 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 0 + 0 + 0 + 8 + 74 + 6 + 560 = 666.

21870008746560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21870008746560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21870008746497 and 21870008746506.

It is not an unprimeable number, because it can be changed into a prime (21870008746567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27440412082 + ... + 27440412878.

It is an arithmetic number, because the mean of its divisors is an integer number (63239904000).

Almost surely, 2^{21870008746560} is an apocalyptic number.

21870008746560 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 21870008746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497215488000).

21870008746560 is an abundant number, since it is smaller than the sum of its proper divisors (63124422229440).

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

21870008746560 is a wasteful number, since it uses less digits than its factorization.

21870008746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 21870008746560 in words is "twenty-one trillion, eight hundred seventy billion, eight million, seven hundred forty-six thousand, five hundred sixty".