296985088296 has 288 divisors, whose sum is σ = 907254817560. Its totient is φ = 87212795904.

The previous prime is 296985088271. The next prime is 296985088297. The reversal of 296985088296 is 692880589692.

296985088296 is a `hidden beast` number, since 2 + 9 + 6 + 98 + 508 + 8 + 29 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 154123767396 + 142861320900 = 392586^2 + 377970^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (296985088297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67911166 + ... + 67915538.

Almost surely, 2^296985088296 is an apocalyptic number.

296985088296 is a gapful number since it is divisible by the number (26) 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 296985088296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453627408780).

296985088296 is an abundant number, since it is smaller than the sum of its proper divisors (610269729264).

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

296985088296 is a wasteful number, since it uses less digits than its factorization.

296985088296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 296985088296 in words is "two hundred ninety-six billion, nine hundred eighty-five million, eighty-eight thousand, two hundred ninety-six".