54625638600 has 240 divisors, whose sum is σ = 204317795220. Its totient is φ = 13446259200.

The previous prime is 54625638583. The next prime is 54625638659. The reversal of 54625638600 is 683652645.

54625638600 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 5 + 6 + 38 + 600 = 666.

54625638600 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 6 ways, for example, as 23260520196 + 31365118404 = 152514^2 + 177102^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80910 + ... + 340290.

Almost surely, 2^54625638600 is an apocalyptic number.

54625638600 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 54625638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102158897610).

54625638600 is an abundant number, since it is smaller than the sum of its proper divisors (149692156620).

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

54625638600 is a wasteful number, since it uses less digits than its factorization.

54625638600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259422 (or 259404 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54625638600 in words is "fifty-four billion, six hundred twenty-five million, six hundred thirty-eight thousand, six hundred".