84221211278880 has 480 divisors, whose sum is σ = 320160539248704. Its totient is φ = 20727103924224.

The previous prime is 84221211278839. The next prime is 84221211278909. The reversal of 84221211278880 is 8887211212248.

84221211278880 is a `hidden beast` number, since 8 + 422 + 12 + 1 + 127 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 860378419 + ... + 860476301.

Almost surely, 2^{84221211278880} is an apocalyptic number.

84221211278880 is a gapful number since it is divisible by the number (80) 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 84221211278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160080269624352).

84221211278880 is an abundant number, since it is smaller than the sum of its proper divisors (235939327969824).

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

84221211278880 is a wasteful number, since it uses less digits than its factorization.

84221211278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103030 (or 103013 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 84221211278880 in words is "eighty-four trillion, two hundred twenty-one billion, two hundred eleven million, two hundred seventy-eight thousand, eight hundred eighty".