5009545440000 has 1800 divisors, whose sum is σ = 19847580841088. Its totient is φ = 1254113280000.

The previous prime is 5009545439953. The next prime is 5009545440041. The reversal of 5009545440000 is 445459005.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 14865119832 + ... + 14865120168.

Almost surely, 2^{5009545440000} is an apocalyptic number.

5009545440000 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 5009545440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923790420544).

5009545440000 is an abundant number, since it is smaller than the sum of its proper divisors (14838035401088).

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

5009545440000 is an equidigital number, since it uses as much as digits as its factorization.

5009545440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 5009545440000 in words is "five trillion, nine billion, five hundred forty-five million, four hundred forty thousand".