54596009100900 has 288 divisors, whose sum is σ = 163693400951808. Its totient is φ = 14034655641600.

The previous prime is 54596009100847. The next prime is 54596009100901. The reversal of 54596009100900 is 900190069545.

It is a self number, because there is not a number n which added to its sum of digits gives 54596009100900.

It is not an unprimeable number, because it can be changed into a prime (54596009100901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3325569492 + ... + 3325585908.

It is an arithmetic number, because the mean of its divisors is an integer number (568379864416).

Almost surely, 2^{54596009100900} is an apocalyptic number.

54596009100900 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 54596009100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81846700475904).

54596009100900 is an abundant number, since it is smaller than the sum of its proper divisors (109097391850908).

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

54596009100900 is a wasteful number, since it uses less digits than its factorization.

54596009100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17831 (or 17824 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 54596009100900 in words is "fifty-four trillion, five hundred ninety-six billion, nine million, one hundred thousand, nine hundred".