54511404758400 has 192 divisors, whose sum is σ = 180181389885120. Its totient is φ = 14485008599040.

The previous prime is 54511404758381. The next prime is 54511404758401. The reversal of 54511404758400 is 485740411545.

54511404758400 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 (192).

It is a super-2 number, since 2×54511404758400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54511404758400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54511404758401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7315482 + ... + 12749081.

It is an arithmetic number, because the mean of its divisors is an integer number (938444738985).

Almost surely, 2^{54511404758400} is an apocalyptic number.

54511404758400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54511404758400 is an abundant number, since it is smaller than the sum of its proper divisors (125669985126720).

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

54511404758400 is a wasteful number, since it uses less digits than its factorization.

54511404758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064873 (or 20064856 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 54511404758400 in words is "fifty-four trillion, five hundred eleven billion, four hundred four million, seven hundred fifty-eight thousand, four hundred".