84991775534400 has 672 divisors, whose sum is σ = 326458767301632. Its totient is φ = 18957839155200.

The previous prime is 84991775534339. The next prime is 84991775534401. The reversal of 84991775534400 is 443557719948.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84991775534401) 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, 240701980 + ... + 241054820.

It is an arithmetic number, because the mean of its divisors is an integer number (485801737056).

Almost surely, 2^{84991775534400} is an apocalyptic number.

84991775534400 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 84991775534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163229383650816).

84991775534400 is an abundant number, since it is smaller than the sum of its proper divisors (241466991767232).

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

84991775534400 is a wasteful number, since it uses less digits than its factorization.

84991775534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353047 (or 353032 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 84991775534400 in words is "eighty-four trillion, nine hundred ninety-one billion, seven hundred seventy-five million, five hundred thirty-four thousand, four hundred".