152076266496 has 792 divisors, whose sum is σ = 568237243392. Its totient is φ = 38054707200.

The previous prime is 152076266491. The next prime is 152076266497. The reversal of 152076266496 is 694662670251.

152076266496 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 7 + 626 + 6 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (152076266491) 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, 681956241 + ... + 681956463.

Almost surely, 2^152076266496 is an apocalyptic number.

152076266496 is a gapful number since it is divisible by the number (16) 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 152076266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284118621696).

152076266496 is an abundant number, since it is smaller than the sum of its proper divisors (416160976896).

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

152076266496 is a wasteful number, since it uses less digits than its factorization.

152076266496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 152076266496 in words is "one hundred fifty-two billion, seventy-six million, two hundred sixty-six thousand, four hundred ninety-six".