54666086400 has 216 divisors, whose sum is σ = 195779910690. Its totient is φ = 14577500160.

The previous prime is 54666086399. The next prime is 54666086407. The reversal of 54666086400 is 468066645.

It can be written as a sum of positive squares in 3 ways, for example, as 46366147584 + 8299938816 = 215328^2 + 91104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54666086407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 401484 + ... + 520116.

Almost surely, 2^54666086400 is an apocalyptic number.

54666086400 is a gapful number since it is divisible by the number (50) 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 54666086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97889955345).

54666086400 is an abundant number, since it is smaller than the sum of its proper divisors (141113824290).

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

54666086400 is a wasteful number, since it uses less digits than its factorization.

54666086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118671 (or 118643 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 54666086400 in words is "fifty-four billion, six hundred sixty-six million, eighty-six thousand, four hundred".