5850106416 has 240 divisors, whose sum is σ = 21169145088. Its totient is φ = 1519430400.

The previous prime is 5850106393. The next prime is 5850106417. The reversal of 5850106416 is 6146010585.

5850106416 is a `hidden beast` number, since 5 + 8 + 5 + 0 + 1 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5850106417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289606 + ... + 309146.

Almost surely, 2^5850106416 is an apocalyptic number.

5850106416 is a gapful number since it is divisible by the number (56) 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 5850106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584572544).

5850106416 is an abundant number, since it is smaller than the sum of its proper divisors (15319038672).

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

5850106416 is a wasteful number, since it uses less digits than its factorization.

5850106416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19582 (or 19564 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5850106416 is about 76485.9883638827. The cubic root of 5850106416 is about 1801.8608755272.

The spelling of 5850106416 in words is "five billion, eight hundred fifty million, one hundred six thousand, four hundred sixteen".