54006186240 has 504 divisors, whose sum is σ = 200317625088. Its totient is φ = 13929615360.

The previous prime is 54006186233. The next prime is 54006186253. The reversal of 54006186240 is 4268160045.

54006186240 is a `hidden beast` number, since 5 + 400 + 6 + 1 + 8 + 6 + 240 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54006186195 and 54006186204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28925787 + ... + 28927653.

Almost surely, 2^54006186240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54006186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100158812544).

54006186240 is an abundant number, since it is smaller than the sum of its proper divisors (146311438848).

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

54006186240 is an equidigital number, since it uses as much as digits as its factorization.

54006186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54006186240 in words is "fifty-four billion, six million, one hundred eighty-six thousand, two hundred forty".