54432307776 has 1008 divisors, whose sum is σ = 203346173952. Its totient is φ = 12686284800.

The previous prime is 54432307763. The next prime is 54432307777. The reversal of 54432307776 is 67770323445.

It is a happy number.

It is a super-2 number, since 2×54432307776² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54432307777) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1158134185 + ... + 1158134231.

Almost surely, 2^54432307776 is an apocalyptic number.

54432307776 is a gapful number since it is divisible by the number (56) 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 54432307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101673086976).

54432307776 is an abundant number, since it is smaller than the sum of its proper divisors (148913866176).

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

54432307776 is a wasteful number, since it uses less digits than its factorization.

54432307776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 48.

The spelling of 54432307776 in words is "fifty-four billion, four hundred thirty-two million, three hundred seven thousand, seven hundred seventy-six".