84981105792000 has 2112 divisors, whose sum is σ = 356959242102528. Its totient is φ = 19212533760000.

The previous prime is 84981105791969. The next prime is 84981105792043. The reversal of 84981105792000 is 29750118948.

It is a happy number.

84981105792000 is a `hidden beast` number, since 8 + 49 + 8 + 1 + 1 + 0 + 579 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×84981105792000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 24342910255 + ... + 24342913745.

Almost surely, 2^{84981105792000} is an apocalyptic number.

84981105792000 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 84981105792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178479621051264).

84981105792000 is an abundant number, since it is smaller than the sum of its proper divisors (271978136310528).

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

84981105792000 is a wasteful number, since it uses less digits than its factorization.

84981105792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 84981105792000 in words is "eighty-four trillion, nine hundred eighty-one billion, one hundred five million, seven hundred ninety-two thousand".