5903850240 has 648 divisors, whose sum is σ = 22931104560. Its totient is φ = 1451188224.

The previous prime is 5903850223. The next prime is 5903850307. The reversal of 5903850240 is 420583095.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a junction number, because it is equal to n+sod(n) for n = 5903850195 and 5903850204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159563502 + ... + 159563538.

Almost surely, 2^5903850240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5903850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465552280).

5903850240 is an abundant number, since it is smaller than the sum of its proper divisors (17027254320).

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

5903850240 is an frugal number, since it uses more digits than its factorization.

5903850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5903850240 is about 76836.5163187400. The cubic root of 5903850240 is about 1807.3618496020.

It can be divided in two parts, 59038 and 50240, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 5903850240 in words is "five billion, nine hundred three million, eight hundred fifty thousand, two hundred forty".