93229271040 has 384 divisors, whose sum is σ = 309967257600. Its totient is φ = 23896719360.

The previous prime is 93229271029. The next prime is 93229271059. The reversal of 93229271040 is 4017292239.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 93229271040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212367141 + ... + 212367579.

It is an arithmetic number, because the mean of its divisors is an integer number (807206400).

Almost surely, 2^93229271040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93229271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154983628800).

93229271040 is an abundant number, since it is smaller than the sum of its proper divisors (216737986560).

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

93229271040 is a wasteful number, since it uses less digits than its factorization.

93229271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 93229271040 in words is "ninety-three billion, two hundred twenty-nine million, two hundred seventy-one thousand, forty".