5091431567040 has 2688 divisors, whose sum is σ = 23701517199360. Its totient is φ = 1011316948992.

The previous prime is 5091431567021. The next prime is 5091431567059. The reversal of 5091431567040 is 407651341905.

5091431567040 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 43 + 1 + 567 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5091431567021) and next prime (5091431567059).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8823971232 + ... + 8823971808.

It is an arithmetic number, because the mean of its divisors is an integer number (8817528720).

Almost surely, 2^{5091431567040} 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 5091431567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850758599680).

5091431567040 is an abundant number, since it is smaller than the sum of its proper divisors (18610085632320).

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

5091431567040 is a wasteful number, since it uses less digits than its factorization.

5091431567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5091431567040 in words is "five trillion, ninety-one billion, four hundred thirty-one million, five hundred sixty-seven thousand, forty".