93728761217280 has 1152 divisors, whose sum is σ = 390486858854400. Its totient is φ = 20843474190336.

The previous prime is 93728761217257. The next prime is 93728761217297. The reversal of 93728761217280 is 8271216782739.

93728761217280 is a `hidden beast` number, since 9 + 3 + 7 + 2 + 8 + 7 + 612 + 1 + 7 + 2 + 8 + 0 = 666.

93728761217280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 2673440391 + ... + 2673475449.

It is an arithmetic number, because the mean of its divisors is an integer number (338964287200).

Almost surely, 2^{93728761217280} is an apocalyptic number.

93728761217280 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 93728761217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195243429427200).

93728761217280 is an abundant number, since it is smaller than the sum of its proper divisors (296758097637120).

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

93728761217280 is a wasteful number, since it uses less digits than its factorization.

93728761217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35396 (or 35376 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 93728761217280 in words is "ninety-three trillion, seven hundred twenty-eight billion, seven hundred sixty-one million, two hundred seventeen thousand, two hundred eighty".