93311688960 has 864 divisors, whose sum is σ = 405304204032. Its totient is φ = 20065812480.

The previous prime is 93311688889. The next prime is 93311688961. The reversal of 93311688960 is 6988611339.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 93311688897 and 93311688906.

It is not an unprimeable number, because it can be changed into a prime (93311688961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37012500 + ... + 37015020.

It is an arithmetic number, because the mean of its divisors is an integer number (469102088).

Almost surely, 2^93311688960 is an apocalyptic number.

93311688960 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 93311688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202652102016).

93311688960 is an abundant number, since it is smaller than the sum of its proper divisors (311992515072).

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

93311688960 is a wasteful number, since it uses less digits than its factorization.

93311688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 93311688960 in words is "ninety-three billion, three hundred eleven million, six hundred eighty-eight thousand, nine hundred sixty".