296120155968 has 672 divisors, whose sum is σ = 1140824459520. Its totient is φ = 73495019520.

The previous prime is 296120155943. The next prime is 296120156063. The reversal of 296120155968 is 869551021692.

296120155968 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 20 + 1 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34747548 + ... + 34756068.

Almost surely, 2^296120155968 is an apocalyptic number.

296120155968 is a gapful number since it is divisible by the number (28) 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 296120155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570412229760).

296120155968 is an abundant number, since it is smaller than the sum of its proper divisors (844704303552).

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

296120155968 is a wasteful number, since it uses less digits than its factorization.

296120155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

It can be divided in two parts, 2961201 and 55968, that added together give a square (3017169 = 1737²).

The spelling of 296120155968 in words is "two hundred ninety-six billion, one hundred twenty million, one hundred fifty-five thousand, nine hundred sixty-eight".