93045810000 has 1200 divisors, whose sum is σ = 377882188992. Its totient is φ = 19430400000.

The previous prime is 93045809981. The next prime is 93045810017. The reversal of 93045810000 is 1854039.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×93045810000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 93045810000.

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 239 ways as a sum of consecutive naturals, for example, 2269409980 + ... + 2269410020.

Almost surely, 2^93045810000 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 93045810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188941094496).

93045810000 is an abundant number, since it is smaller than the sum of its proper divisors (284836378992).

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

93045810000 is a wasteful number, since it uses less digits than its factorization.

93045810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 93045810000 in words is "ninety-three billion, forty-five million, eight hundred ten thousand".