54115320900 has 144 divisors (see below), whose sum is σ = 157668033600. Its totient is φ = 14330265600.

The previous prime is 54115320871. The next prime is 54115320913. The reversal of 54115320900 is 902351145.

It is a super-2 number, since 2×54115320900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32461867 + ... + 32463533.

It is an arithmetic number, because the mean of its divisors is an integer number (1094916900).

Almost surely, 2^54115320900 is an apocalyptic number.

54115320900 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 54115320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78834016800).

54115320900 is an abundant number, since it is smaller than the sum of its proper divisors (103552712700).

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

54115320900 is a wasteful number, since it uses less digits than its factorization.

54115320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 54115320900 in words is "fifty-four billion, one hundred fifteen million, three hundred twenty thousand, nine hundred".