84727170572352 has 1344 divisors, whose sum is σ = 298852516896768. Its totient is φ = 20922789888000.

The previous prime is 84727170572323. The next prime is 84727170572417. The reversal of 84727170572352 is 25327507172748.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77517996318 + ... + 77517997410.

Almost surely, 2^{84727170572352} 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 84727170572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149426258448384).

84727170572352 is an abundant number, since it is smaller than the sum of its proper divisors (214125346324416).

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

84727170572352 is a wasteful number, since it uses less digits than its factorization.

84727170572352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 46099200, while the sum is 60.

The spelling of 84727170572352 in words is "eighty-four trillion, seven hundred twenty-seven billion, one hundred seventy million, five hundred seventy-two thousand, three hundred fifty-two".