54810380016 has 360 divisors, whose sum is σ = 185447639520. Its totient is φ = 15049939968.

The previous prime is 54810380003. The next prime is 54810380039. The reversal of 54810380016 is 61008301845.

54810380016 is a `hidden beast` number, since 548 + 103 + 8 + 0 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56680365 + ... + 56681331.

It is an arithmetic number, because the mean of its divisors is an integer number (515132332).

Almost surely, 2^54810380016 is an apocalyptic number.

54810380016 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 54810380016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92723819760).

54810380016 is an abundant number, since it is smaller than the sum of its proper divisors (130637259504).

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

54810380016 is a wasteful number, since it uses less digits than its factorization.

54810380016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 54810380016 in words is "fifty-four billion, eight hundred ten million, three hundred eighty thousand, sixteen".