54609938100 has 144 divisors (see below), whose sum is σ = 185888102400. Its totient is φ = 13706012160.

The previous prime is 54609938051. The next prime is 54609938113. The reversal of 54609938100 is 183990645.

It is a happy number.

54609938100 is a `hidden beast` number, since 5 + 4 + 609 + 9 + 38 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×54609938100² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 548980 + ... + 640779.

It is an arithmetic number, because the mean of its divisors is an integer number (1290889600).

Almost surely, 2^54609938100 is an apocalyptic number.

54609938100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54609938100 is an abundant number, since it is smaller than the sum of its proper divisors (131278164300).

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

54609938100 is a wasteful number, since it uses less digits than its factorization.

54609938100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189799 (or 1189786 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 54609938100 in words is "fifty-four billion, six hundred nine million, nine hundred thirty-eight thousand, one hundred".