84985251321600 has 1080 divisors, whose sum is σ = 360612912886688. Its totient is φ = 19344398745600.

The previous prime is 84985251321587. The next prime is 84985251321623. The reversal of 84985251321600 is 612315258948.

84985251321600 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 5 + 2 + 5 + 1 + 3 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 874492212 + ... + 874589388.

Almost surely, 2^{84985251321600} is an apocalyptic number.

84985251321600 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 84985251321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180306456443344).

84985251321600 is an abundant number, since it is smaller than the sum of its proper divisors (275627661565088).

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

84985251321600 is a wasteful number, since it uses less digits than its factorization.

84985251321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97463 (or 97435 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 84985251321600 in words is "eighty-four trillion, nine hundred eighty-five billion, two hundred fifty-one million, three hundred twenty-one thousand, six hundred".