54128714435100 has 144 divisors (see below), whose sum is σ = 174047964384000. Its totient is φ = 14431489364160.

The previous prime is 54128714435069. The next prime is 54128714435119. The reversal of 54128714435100 is 153441782145.

54128714435100 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 87 + 14 + 43 + 510 + 0 = 666.

54128714435100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54128714435100² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11801457 + ... + 15733143.

Almost surely, 2^{54128714435100} is an apocalyptic number.

54128714435100 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 54128714435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87023982192000).

54128714435100 is an abundant number, since it is smaller than the sum of its proper divisors (119919249948900).

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

54128714435100 is a wasteful number, since it uses less digits than its factorization.

54128714435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936809 (or 3936796 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 54128714435100 in words is "fifty-four trillion, one hundred twenty-eight billion, seven hundred fourteen million, four hundred thirty-five thousand, one hundred".