85484541542400 has 6048 divisors, whose sum is σ = 432362358522360. Its totient is φ = 16396635340800.

The previous prime is 85484541542381. The next prime is 85484541542459. The reversal of 85484541542400 is 424514548458.

85484541542400 is a `hidden beast` number, since 8 + 5 + 4 + 8 + 4 + 54 + 1 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×85484541542400² (a number of 29 digits) contains 22 as substring.

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 377 ways as a sum of consecutive naturals, for example, 6575733964794 + ... + 6575733964806.

Almost surely, 2^{85484541542400} is an apocalyptic number.

85484541542400 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 85484541542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216181179261180).

85484541542400 is an abundant number, since it is smaller than the sum of its proper divisors (346877816979960).

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

85484541542400 is an equidigital number, since it uses as much as digits as its factorization.

85484541542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384000, while the sum is 54.

The spelling of 85484541542400 in words is "eighty-five trillion, four hundred eighty-four billion, five hundred forty-one million, five hundred forty-two thousand, four hundred".