54567144400 has 60 divisors (see below), whose sum is σ = 131122130464. Its totient is φ = 21822768000.

The previous prime is 54567144371. The next prime is 54567144407. The reversal of 54567144400 is 444176545.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54567144407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3027415 + ... + 3045385.

Almost surely, 2^54567144400 is an apocalyptic number.

54567144400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54567144400 is an abundant number, since it is smaller than the sum of its proper divisors (76554986064).

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

54567144400 is a wasteful number, since it uses less digits than its factorization.

54567144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25580 (or 25569 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 54567144400 in words is "fifty-four billion, five hundred sixty-seven million, one hundred forty-four thousand, four hundred".