54000966096 has 180 divisors, whose sum is σ = 189846800416. Its totient is φ = 14026193280.

The previous prime is 54000966043. The next prime is 54000966113. The reversal of 54000966096 is 69066900045.

It is a super-2 number, since 2×54000966096² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 99406 + ... + 343341.

Almost surely, 2^54000966096 is an apocalyptic number.

54000966096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54000966096 is an abundant number, since it is smaller than the sum of its proper divisors (135845834320).

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

54000966096 is a wasteful number, since it uses less digits than its factorization.

54000966096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442790 (or 442770 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 54000966096 in words is "fifty-four billion, nine hundred sixty-six thousand, ninety-six".