296352000000 has 1344 divisors, whose sum is σ = 1279671120000. Its totient is φ = 67737600000.

The previous prime is 296351999987. The next prime is 296352000029. The reversal of 296352000000 is 253692.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

296352000000 is a `hidden beast` number, since 2 + 9 + 635 + 20 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42335999997 + ... + 42336000003.

It is an arithmetic number, because the mean of its divisors is an integer number (952136250).

Almost surely, 2^296352000000 is an apocalyptic number.

296352000000 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 296352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639835560000).

296352000000 is an abundant number, since it is smaller than the sum of its proper divisors (983319120000).

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

296352000000 is an frugal number, since it uses more digits than its factorization.

296352000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 296352000000 its reverse (253692), we get a palindrome (296352253692).

The spelling of 296352000000 in words is "two hundred ninety-six billion, three hundred fifty-two million", and thus it is an aban number.