54918501768 has 384 divisors, whose sum is σ = 177125356800. Its totient is φ = 15618299904.

The previous prime is 54918501749. The next prime is 54918501779. The reversal of 54918501768 is 86710581945.

It is a happy number.

54918501768 is a `hidden beast` number, since 5 + 491 + 85 + 0 + 1 + 76 + 8 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 328853221 + ... + 328853387.

It is an arithmetic number, because the mean of its divisors is an integer number (461263950).

Almost surely, 2^54918501768 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 54918501768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88562678400).

54918501768 is an abundant number, since it is smaller than the sum of its proper divisors (122206855032).

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

54918501768 is a wasteful number, since it uses less digits than its factorization.

54918501768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 54918501768 in words is "fifty-four billion, nine hundred eighteen million, five hundred one thousand, seven hundred sixty-eight".