293205096420 has 96 divisors (see below), whose sum is σ = 865321591680. Its totient is φ = 73975311360.

The previous prime is 293205096413. The next prime is 293205096449. The reversal of 293205096420 is 24690502392.

It is a super-2 number, since 2×293205096420² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 698554 + ... + 1036526.

It is an arithmetic number, because the mean of its divisors is an integer number (9013766580).

Almost surely, 2^293205096420 is an apocalyptic number.

293205096420 is a gapful number since it is divisible by the number (20) 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 293205096420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432660795840).

293205096420 is an abundant number, since it is smaller than the sum of its proper divisors (572116495260).

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

293205096420 is a wasteful number, since it uses less digits than its factorization.

293205096420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338765 (or 338763 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 293205096420 in words is "two hundred ninety-three billion, two hundred five million, ninety-six thousand, four hundred twenty".