54393923100 has 288 divisors, whose sum is σ = 175326278400. Its totient is φ = 12908851200.

The previous prime is 54393923057. The next prime is 54393923119. The reversal of 54393923100 is 132939345.

It is a super-2 number, since 2×54393923100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65613486 + ... + 65614314.

It is an arithmetic number, because the mean of its divisors is an integer number (608771800).

Almost surely, 2^54393923100 is an apocalyptic number.

54393923100 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 54393923100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87663139200).

54393923100 is an abundant number, since it is smaller than the sum of its proper divisors (120932355300).

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

54393923100 is a wasteful number, since it uses less digits than its factorization.

54393923100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 54393923100 in words is "fifty-four billion, three hundred ninety-three million, nine hundred twenty-three thousand, one hundred".