5455001000900 has 216 divisors, whose sum is σ = 13460743847880. Its totient is φ = 1916076800000.

The previous prime is 5455001000833. The next prime is 5455001000947. The reversal of 5455001000900 is 90001005545.

It can be written as a sum of positive squares in 12 ways, for example, as 1165264116676 + 4289736884224 = 1079474^2 + 2071168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50051666 + ... + 50160534.

It is an arithmetic number, because the mean of its divisors is an integer number (62318258555).

Almost surely, 2^{5455001000900} is an apocalyptic number.

5455001000900 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 5455001000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730371923940).

5455001000900 is an abundant number, since it is smaller than the sum of its proper divisors (8005742846980).

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

5455001000900 is a wasteful number, since it uses less digits than its factorization.

5455001000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109047 (or 109029 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 5455001000900 in words is "five trillion, four hundred fifty-five billion, one million, nine hundred", and thus it is an aban number.