54555200400 has 60 divisors (see below), whose sum is σ = 174758495792. Its totient is φ = 14548053120.

The previous prime is 54555200377. The next prime is 54555200417. The reversal of 54555200400 is 400255545.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22730134 + ... + 22732533.

Almost surely, 2^54555200400 is an apocalyptic number.

54555200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54555200400 is an abundant number, since it is smaller than the sum of its proper divisors (120203295392).

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

54555200400 is a wasteful number, since it uses less digits than its factorization.

54555200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45462688 (or 45462677 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

Adding to 54555200400 its reverse (400255545), we get a palindrome (54955455945).

The spelling of 54555200400 in words is "fifty-four billion, five hundred fifty-five million, two hundred thousand, four hundred".