54200741760 has 896 divisors, whose sum is σ = 216728784000. Its totient is φ = 12844707840.

The previous prime is 54200741743. The next prime is 54200741773. The reversal of 54200741760 is 6714700245.

54200741760 is a `hidden beast` number, since 542 + 0 + 0 + 7 + 41 + 76 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 302797351 + ... + 302797529.

Almost surely, 2^54200741760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54200741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108364392000).

54200741760 is an abundant number, since it is smaller than the sum of its proper divisors (162528042240).

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

54200741760 is a wasteful number, since it uses less digits than its factorization.

54200741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 54200741760 in words is "fifty-four billion, two hundred million, seven hundred forty-one thousand, seven hundred sixty".