5850095505408 has 2496 divisors, whose sum is σ = 24397049456640. Its totient is φ = 1362493440000.

The previous prime is 5850095505367. The next prime is 5850095505473. The reversal of 5850095505408 is 8045055900585.

5850095505408 is a `hidden beast` number, since 5 + 8 + 5 + 0 + 0 + 95 + 5 + 0 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23307153283 + ... + 23307153533.

Almost surely, 2^{5850095505408} 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 5850095505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198524728320).

5850095505408 is an abundant number, since it is smaller than the sum of its proper divisors (18546953951232).

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

5850095505408 is a wasteful number, since it uses less digits than its factorization.

5850095505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 54.

The spelling of 5850095505408 in words is "five trillion, eight hundred fifty billion, ninety-five million, five hundred five thousand, four hundred eight".