93381138720000 has 2160 divisors, whose sum is σ = 369123365362752. Its totient is φ = 22600581120000.

The previous prime is 93381138719971. The next prime is 93381138720013. The reversal of 93381138720000 is 2783118339.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 118654559607 + ... + 118654560393.

Almost surely, 2^{93381138720000} is an apocalyptic number.

93381138720000 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 93381138720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184561682681376).

93381138720000 is an abundant number, since it is smaller than the sum of its proper divisors (275742226642752).

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

93381138720000 is a wasteful number, since it uses less digits than its factorization.

93381138720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 93381138720000 in words is "ninety-three trillion, three hundred eighty-one billion, one hundred thirty-eight million, seven hundred twenty thousand".