54364893440 has 648 divisors, whose sum is σ = 162380461824. Its totient is φ = 17396121600.

The previous prime is 54364893403. The next prime is 54364893449. The reversal of 54364893440 is 4439846345.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54364893449) 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 71 ways as a sum of consecutive naturals, for example, 811416287 + ... + 811416353.

Almost surely, 2^54364893440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54364893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81190230912).

54364893440 is an abundant number, since it is smaller than the sum of its proper divisors (108015568384).

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

54364893440 is a wasteful number, since it uses less digits than its factorization.

54364893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 50.

The spelling of 54364893440 in words is "fifty-four billion, three hundred sixty-four million, eight hundred ninety-three thousand, four hundred forty".