5091840000 has 780 divisors, whose sum is σ = 20957132196. Its totient is φ = 1179648000.

The previous prime is 5091839971. The next prime is 5091840029. The reversal of 5091840000 is 481905.

It is an interprime number because it is at equal distance from previous prime (5091839971) and next prime (5091840029).

It can be written as a sum of positive squares in 10 ways, for example, as 4112400384 + 979439616 = 64128^2 + 31296^2 .

It is a tau number, because it is divible by the number of its divisors (780).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 299519992 + ... + 299520008.

Almost surely, 2^5091840000 is an apocalyptic number.

5091840000 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 5091840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478566098).

5091840000 is an abundant number, since it is smaller than the sum of its proper divisors (15865292196).

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

5091840000 is a wasteful number, since it uses less digits than its factorization.

5091840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5091840000 is about 71357.1299871288. The cubic root of 5091840000 is about 1720.3821036785.

The spelling of 5091840000 in words is "five billion, ninety-one million, eight hundred forty thousand".