54274260600 has 480 divisors, whose sum is σ = 222395289600. Its totient is φ = 12004588800.

The previous prime is 54274260587. The next prime is 54274260611. The reversal of 54274260600 is 606247245.

54274260600 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 42 + 6 + 0 + 600 = 666.

It is a super-3 number, since 3×54274260600³ (a number of 33 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3507681 + ... + 3523119.

It is an arithmetic number, because the mean of its divisors is an integer number (463323520).

Almost surely, 2^54274260600 is an apocalyptic number.

54274260600 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 54274260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111197644800).

54274260600 is an abundant number, since it is smaller than the sum of its proper divisors (168121029000).

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

54274260600 is a wasteful number, since it uses less digits than its factorization.

54274260600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15505 (or 15487 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 54274260600 in words is "fifty-four billion, two hundred seventy-four million, two hundred sixty thousand, six hundred".