84894994229760 has 5760 divisors, whose sum is σ = 391385969694720. Its totient is φ = 16817061888000.

The previous prime is 84894994229723. The next prime is 84894994229761. The reversal of 84894994229760 is 6792249949848.

84894994229760 is a `hidden beast` number, since 8 + 4 + 8 + 9 + 49 + 9 + 422 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a self number, because there is not a number n which added to its sum of digits gives 84894994229760.

It is not an unprimeable number, because it can be changed into a prime (84894994229761) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 875206126032 + ... + 875206126128.

It is an arithmetic number, because the mean of its divisors is an integer number (67948953072).

Almost surely, 2^{84894994229760} is an apocalyptic number.

84894994229760 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 84894994229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195692984847360).

84894994229760 is an abundant number, since it is smaller than the sum of its proper divisors (306490975464960).

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

84894994229760 is a wasteful number, since it uses less digits than its factorization.

84894994229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 84894994229760 in words is "eighty-four trillion, eight hundred ninety-four billion, nine hundred ninety-four million, two hundred twenty-nine thousand, seven hundred sixty".