93981368033280 has 3696 divisors, whose sum is σ = 430765206152904. Its totient is φ = 19503969730560.

The previous prime is 93981368033279. The next prime is 93981368033291. The reversal of 93981368033280 is 8233086318939.

93981368033280 is a `hidden beast` number, since 9 + 3 + 98 + 136 + 8 + 0 + 332 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30825414660096 + 63155953373184 = 5552064^2 + 7947072^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 1540678164450 + ... + 1540678164510.

Almost surely, 2^{93981368033280} is an apocalyptic number.

93981368033280 is a gapful number since it is divisible by the number (90) 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 93981368033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215382603076452).

93981368033280 is an abundant number, since it is smaller than the sum of its proper divisors (336783838119624).

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

93981368033280 is an frugal number, since it uses more digits than its factorization.

93981368033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 93981368033280 in words is "ninety-three trillion, nine hundred eighty-one billion, three hundred sixty-eight million, thirty-three thousand, two hundred eighty".