84897422438400 has 3744 divisors, whose sum is σ = 375290443971520. Its totient is φ = 18919194624000.

The previous prime is 84897422438371. The next prime is 84897422438407. The reversal of 84897422438400 is 483422479848.

84897422438400 is a `hidden beast` number, since 8 + 4 + 8 + 97 + 422 + 43 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84897422438407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 352271462280 + ... + 352271462520.

Almost surely, 2^{84897422438400} is an apocalyptic number.

84897422438400 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 84897422438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187645221985760).

84897422438400 is an abundant number, since it is smaller than the sum of its proper divisors (290393021533120).

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

84897422438400 is a wasteful number, since it uses less digits than its factorization.

84897422438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 84897422438400 in words is "eighty-four trillion, eight hundred ninety-seven billion, four hundred twenty-two million, four hundred thirty-eight thousand, four hundred".