54359111664 has 240 divisors, whose sum is σ = 185347553664. Its totient is φ = 15205190400.

The previous prime is 54359111657. The next prime is 54359111693. The reversal of 54359111664 is 46611195345.

54359111664 is a `hidden beast` number, since 5 + 43 + 591 + 1 + 16 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 507099 + ... + 604869.

Almost surely, 2^54359111664 is an apocalyptic number.

54359111664 is a gapful number since it is divisible by the number (54) 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 54359111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92673776832).

54359111664 is an abundant number, since it is smaller than the sum of its proper divisors (130988442000).

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

54359111664 is a wasteful number, since it uses less digits than its factorization.

54359111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97818 (or 97800 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 54359111664 in words is "fifty-four billion, three hundred fifty-nine million, one hundred eleven thousand, six hundred sixty-four".