54600001000 has 64 divisors (see below), whose sum is σ = 128060084880. Its totient is φ = 21789388800.

The previous prime is 54600000977. The next prime is 54600001013. The reversal of 54600001000 is 10000645.

It can be written as a sum of positive squares in 8 ways, for example, as 591170596 + 54008830404 = 24314^2 + 232398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369952 + ... + 496048.

Almost surely, 2^54600001000 is an apocalyptic number.

54600001000 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 54600001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64030042440).

54600001000 is an abundant number, since it is smaller than the sum of its proper divisors (73460083880).

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

54600001000 is a wasteful number, since it uses less digits than its factorization.

54600001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126551 (or 126537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 54600001000 its reverse (10000645), we get a palindrome (54610001645).

The spelling of 54600001000 in words is "fifty-four billion, six hundred million, one thousand".