54116574336000 has 1848 divisors, whose sum is σ = 222542146997352. Its totient is φ = 13116432384000.

The previous prime is 54116574335917. The next prime is 54116574336001. The reversal of 54116574336000 is 63347561145.

54116574336000 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 6 + 5 + 7 + 4 + 33 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4425974784 + 54112148361216 = 66528^2 + 7356096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54116574336001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11290749604 + ... + 11290754396.

Almost surely, 2^{54116574336000} is an apocalyptic number.

54116574336000 is a gapful number since it is divisible by the number (50) 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 54116574336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111271073498676).

54116574336000 is an abundant number, since it is smaller than the sum of its proper divisors (168425572661352).

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

54116574336000 is an equidigital number, since it uses as much as digits as its factorization.

54116574336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 54116574336000 in words is "fifty-four trillion, one hundred sixteen billion, five hundred seventy-four million, three hundred thirty-six thousand".