5091350400 has 288 divisors, whose sum is σ = 19237608000. Its totient is φ = 1277706240.

The previous prime is 5091350353. The next prime is 5091350483. The reversal of 5091350400 is 40531905.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484401 + ... + 494799.

It is an arithmetic number, because the mean of its divisors is an integer number (66797250).

Almost surely, 2^5091350400 is an apocalyptic number.

5091350400 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 5091350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618804000).

5091350400 is an abundant number, since it is smaller than the sum of its proper divisors (14146257600).

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

5091350400 is a wasteful number, since it uses less digits than its factorization.

5091350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5091350400 is about 71353.6992734084. The cubic root of 5091350400 is about 1720.3269614591.

The spelling of 5091350400 in words is "five billion, ninety-one million, three hundred fifty thousand, four hundred".