93381256080 has 320 divisors, whose sum is σ = 375100992000. Its totient is φ = 21344117760.

The previous prime is 93381256013. The next prime is 93381256109. The reversal of 93381256080 is 8065218339.

It is a happy number.

93381256080 is a `hidden beast` number, since 9 + 3 + 3 + 8 + 1 + 2 + 560 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677860 + ... + 803900.

It is an arithmetic number, because the mean of its divisors is an integer number (1172190600).

Almost surely, 2^93381256080 is an apocalyptic number.

93381256080 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 93381256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187550496000).

93381256080 is an abundant number, since it is smaller than the sum of its proper divisors (281719735920).

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

93381256080 is a wasteful number, since it uses less digits than its factorization.

93381256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126084 (or 126058 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 93381256080 in words is "ninety-three billion, three hundred eighty-one million, two hundred fifty-six thousand, eighty".