21878184706560 has 4320 divisors, whose sum is σ = 102916089948672. Its totient is φ = 4434544558080.

The previous prime is 21878184706559. The next prime is 21878184706619. The reversal of 21878184706560 is 6560748187812.

It is a happy number.

21878184706560 is a `hidden beast` number, since 2 + 1 + 87 + 81 + 8 + 470 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 159694778812 + ... + 159694778948.

Almost surely, 2^{21878184706560} is an apocalyptic number.

21878184706560 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 21878184706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51458044974336).

21878184706560 is an abundant number, since it is smaller than the sum of its proper divisors (81037905242112).

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

21878184706560 is a wasteful number, since it uses less digits than its factorization.

21878184706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 21878184706560 in words is "twenty-one trillion, eight hundred seventy-eight billion, one hundred eighty-four million, seven hundred six thousand, five hundred sixty".