93085084400 has 720 divisors, whose sum is σ = 304551355680. Its totient is φ = 26940211200.

The previous prime is 93085084397. The next prime is 93085084423. The reversal of 93085084400 is 448058039.

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 143 ways as a sum of consecutive naturals, for example, 399506684 + ... + 399506916.

It is an arithmetic number, because the mean of its divisors is an integer number (422987994).

Almost surely, 2^93085084400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93085084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152275677840).

93085084400 is an abundant number, since it is smaller than the sum of its proper divisors (211466271280).

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

93085084400 is a wasteful number, since it uses less digits than its factorization.

93085084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 93085084400 in words is "ninety-three billion, eighty-five million, eighty-four thousand, four hundred".