54187678080 has 896 divisors, whose sum is σ = 206909097120. Its totient is φ = 13544423424.

The previous prime is 54187678073. The next prime is 54187678141. The reversal of 54187678080 is 8087678145.

It is a happy number.

54187678080 is a `hidden beast` number, since 5 + 418 + 76 + 7 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 742296924 + ... + 742296996.

Almost surely, 2^54187678080 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 54187678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103454548560).

54187678080 is an abundant number, since it is smaller than the sum of its proper divisors (152721419040).

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

54187678080 is an equidigital number, since it uses as much as digits as its factorization.

54187678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 54187678080 in words is "fifty-four billion, one hundred eighty-seven million, six hundred seventy-eight thousand, eighty".