84276958851072 has 1248 divisors, whose sum is σ = 276114337574400. Its totient is φ = 25703589150720.

The previous prime is 84276958850989. The next prime is 84276958851077. The reversal of 84276958851072 is 27015885967248.

84276958851072 is a `hidden beast` number, since 8 + 4 + 27 + 6 + 9 + 5 + 88 + 510 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84276958851077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270987005797 + ... + 270987006107.

It is an arithmetic number, because the mean of its divisors is an integer number (221245462800).

Almost surely, 2^{84276958851072} 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 84276958851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138057168787200).

84276958851072 is an abundant number, since it is smaller than the sum of its proper divisors (191837378723328).

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

84276958851072 is an equidigital number, since it uses as much as digits as its factorization.

84276958851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 84276958851072 in words is "eighty-four trillion, two hundred seventy-six billion, nine hundred fifty-eight million, eight hundred fifty-one thousand, seventy-two".