54755870400 has 2016 divisors, whose sum is σ = 264143093760. Its totient is φ = 10824192000.

The previous prime is 54755870381. The next prime is 54755870417. The reversal of 54755870400 is 407855745.

54755870400 is a `hidden beast` number, since 54 + 7 + 558 + 7 + 0 + 40 + 0 = 666.

54755870400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 928065571 + ... + 928065629.

It is an arithmetic number, because the mean of its divisors is an integer number (131023360).

Almost surely, 2^54755870400 is an apocalyptic number.

54755870400 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 54755870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132071546880).

54755870400 is an abundant number, since it is smaller than the sum of its proper divisors (209387223360).

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

54755870400 is a wasteful number, since it uses less digits than its factorization.

54755870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 54755870400 in words is "fifty-four billion, seven hundred fifty-five million, eight hundred seventy thousand, four hundred".