54037218816 has 480 divisors, whose sum is σ = 183845376000. Its totient is φ = 15272570880.

The previous prime is 54037218811. The next prime is 54037218839. The reversal of 54037218816 is 61881273045.

54037218816 is a `hidden beast` number, since 540 + 3 + 7 + 21 + 8 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54037218811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282917281 + ... + 282917471.

It is an arithmetic number, because the mean of its divisors is an integer number (383011200).

Almost surely, 2^54037218816 is an apocalyptic number.

54037218816 is a gapful number since it is divisible by the number (56) 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 54037218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688000).

54037218816 is an abundant number, since it is smaller than the sum of its proper divisors (129808157184).

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

54037218816 is a wasteful number, since it uses less digits than its factorization.

54037218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 54037218816 in words is "fifty-four billion, thirty-seven million, two hundred eighteen thousand, eight hundred sixteen".