84556522512 has 640 divisors, whose sum is σ = 319979520000. Its totient is φ = 20727083520.

The previous prime is 84556522493. The next prime is 84556522571. The reversal of 84556522512 is 21522565548.

84556522512 is a `hidden beast` number, since 8 + 4 + 55 + 65 + 22 + 512 = 666.

Its product of digits (960000) is a multiple of the sum of its prime factors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60439989 + ... + 60441387.

It is an arithmetic number, because the mean of its divisors is an integer number (499968000).

Almost surely, 2^84556522512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84556522512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760000).

84556522512 is an abundant number, since it is smaller than the sum of its proper divisors (235422997488).

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

84556522512 is a wasteful number, since it uses less digits than its factorization.

84556522512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The spelling of 84556522512 in words is "eighty-four billion, five hundred fifty-six million, five hundred twenty-two thousand, five hundred twelve".