54544061200400 has 30 divisors (see below), whose sum is σ = 131042107034922. Its totient is φ = 21817624480000.

The previous prime is 54544061200393. The next prime is 54544061200423. The reversal of 54544061200400 is 400216044545.

It can be written as a sum of positive squares in 3 ways, for example, as 180631800064 + 54363429400336 = 425008^2 + 7373156^2 .

It is a super-2 number, since 2×54544061200400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68180076101 + ... + 68180076900.

Almost surely, 2^{54544061200400} is an apocalyptic number.

54544061200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54544061200400 is an abundant number, since it is smaller than the sum of its proper divisors (76498045834522).

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

54544061200400 is a wasteful number, since it uses less digits than its factorization.

54544061200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136360153019 (or 136360153008 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 54544061200400 its reverse (400216044545), we get a palindrome (54944277244945).

The spelling of 54544061200400 in words is "fifty-four trillion, five hundred forty-four billion, sixty-one million, two hundred thousand, four hundred".