5005350291942 has 512 divisors, whose sum is σ = 15268055040000. Its totient is φ = 1197809907840.

The previous prime is 5005350291911. The next prime is 5005350291973. The reversal of 5005350291942 is 2491920535005.

5005350291942 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 350 + 291 + 9 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5005350291911) and next prime (5005350291973).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1703077909 + ... + 1703080847.

It is an arithmetic number, because the mean of its divisors is an integer number (29820420000).

Almost surely, 2^{5005350291942} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005350291942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634027520000).

5005350291942 is an abundant number, since it is smaller than the sum of its proper divisors (10262704748058).

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

5005350291942 is a wasteful number, since it uses less digits than its factorization.

5005350291942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 5005350291942 in words is "five trillion, five billion, three hundred fifty million, two hundred ninety-one thousand, nine hundred forty-two".