54116665200 has 360 divisors, whose sum is σ = 202872327840. Its totient is φ = 13279795200.

The previous prime is 54116665193. The next prime is 54116665243. The reversal of 54116665200 is 256661145.

54116665200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×54116665200² (a number of 22 digits) contains 22 as substring.

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, 16799590 + ... + 16802810.

It is an arithmetic number, because the mean of its divisors is an integer number (563534244).

Almost surely, 2^54116665200 is an apocalyptic number.

54116665200 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 54116665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101436163920).

54116665200 is an abundant number, since it is smaller than the sum of its proper divisors (148755662640).

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

54116665200 is a wasteful number, since it uses less digits than its factorization.

54116665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 54116665200 in words is "fifty-four billion, one hundred sixteen million, six hundred sixty-five thousand, two hundred".