54386073600 has 672 divisors, whose sum is σ = 196583417856. Its totient is φ = 13212057600.

The previous prime is 54386073593. The next prime is 54386073647. The reversal of 54386073600 is 637068345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428236737 + ... + 428236863.

It is an arithmetic number, because the mean of its divisors is an integer number (292534848).

Almost surely, 2^54386073600 is an apocalyptic number.

54386073600 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 54386073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98291708928).

54386073600 is an abundant number, since it is smaller than the sum of its proper divisors (142197344256).

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

54386073600 is a wasteful number, since it uses less digits than its factorization.

54386073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 54386073600 in words is "fifty-four billion, three hundred eighty-six million, seventy-three thousand, six hundred".