54016695771300 has 216 divisors, whose sum is σ = 175602297316992. Its totient is φ = 14402882160000.

The previous prime is 54016695771299. The next prime is 54016695771329. The reversal of 54016695771300 is 317759661045.

54016695771300 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 6 + 69 + 577 + 1 + 3 + 0 + 0 = 666.

It is a super-3 number, since 3×54016695771300³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 231972930 + ... + 232205670.

Almost surely, 2^{54016695771300} is an apocalyptic number.

54016695771300 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 54016695771300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87801148658496).

54016695771300 is an abundant number, since it is smaller than the sum of its proper divisors (121585601545692).

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

54016695771300 is a wasteful number, since it uses less digits than its factorization.

54016695771300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242321 (or 242302 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 54016695771300 in words is "fifty-four trillion, sixteen billion, six hundred ninety-five million, seven hundred seventy-one thousand, three hundred".