54161952200 has 24 divisors (see below), whose sum is σ = 125926539330. Its totient is φ = 21664780800.

The previous prime is 54161952181. The next prime is 54161952209. The reversal of 54161952200 is 225916145.

It is a happy number.

54161952200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 23415732484 + 30746219716 = 153022^2 + 175346^2 .

It is a super-3 number, since 3×54161952200³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (54161952209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135404681 + ... + 135405080.

Almost surely, 2^54161952200 is an apocalyptic number.

54161952200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54161952200 is an abundant number, since it is smaller than the sum of its proper divisors (71764587130).

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

54161952200 is a wasteful number, since it uses less digits than its factorization.

54161952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270809777 (or 270809768 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 54161952200 in words is "fifty-four billion, one hundred sixty-one million, nine hundred fifty-two thousand, two hundred".