54187118216100 has 405 divisors, whose sum is σ = 177842554676787. Its totient is φ = 14271992951040.

The previous prime is 54187118216093. The next prime is 54187118216149. The reversal of 54187118216100 is 161281178145.

It is a happy number.

The square root of 54187118216100 is 7361190.

It is a perfect power (a square), and thus also a powerful number.

54187118216100 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 7 + 1 + 1 + 8 + 21 + 610 + 0 = 666.

54187118216100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11276338616676 + 42910779599424 = 3358026^2 + 6550632^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

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 134 ways as a sum of consecutive naturals, for example, 58963131441 + ... + 58963132359.

Almost surely, 2^{54187118216100} is an apocalyptic number.

54187118216100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54187118216100 is the 7361190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54187118216100

54187118216100 is an abundant number, since it is smaller than the sum of its proper divisors (123655436460687).

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

54187118216100 is an frugal number, since it uses more digits than its factorization.

54187118216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 54187118216100 in words is "fifty-four trillion, one hundred eighty-seven billion, one hundred eighteen million, two hundred sixteen thousand, one hundred".