54814335512160 has 768 divisors, whose sum is σ = 204541193945088. Its totient is φ = 12074716569600.

The previous prime is 54814335512159. The next prime is 54814335512227. The reversal of 54814335512160 is 6121553341845.

It is a super-3 number, since 3×54814335512160³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33484626862 + ... + 33484628498.

It is an arithmetic number, because the mean of its divisors is an integer number (266329679616).

Almost surely, 2^{54814335512160} 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 54814335512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102270596972544).

54814335512160 is an abundant number, since it is smaller than the sum of its proper divisors (149726858432928).

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

54814335512160 is a wasteful number, since it uses less digits than its factorization.

54814335512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 54814335512160 in words is "fifty-four trillion, eight hundred fourteen billion, three hundred thirty-five million, five hundred twelve thousand, one hundred sixty".