93013085997280 has 192 divisors, whose sum is σ = 236508558108480. Its totient is φ = 34439034470400.

The previous prime is 93013085997269. The next prime is 93013085997287. The reversal of 93013085997280 is 8279958031039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93013085997287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986204906 + ... + 1986251734.

It is an arithmetic number, because the mean of its divisors is an integer number (1231815406815).

Almost surely, 2^{93013085997280} 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 93013085997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118254279054240).

93013085997280 is an abundant number, since it is smaller than the sum of its proper divisors (143495472111200).

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

93013085997280 is a wasteful number, since it uses less digits than its factorization.

93013085997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58893 (or 58885 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 93013085997280 in words is "ninety-three trillion, thirteen billion, eighty-five million, nine hundred ninety-seven thousand, two hundred eighty".