5185101416 has 96 divisors (see below), whose sum is σ = 11447896320. Its totient is φ = 2181062400.

The previous prime is 5185101409. The next prime is 5185101433. The reversal of 5185101416 is 6141015815.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1441316 + ... + 1444908.

It is an arithmetic number, because the mean of its divisors is an integer number (119248920).

Almost surely, 2^5185101416 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 5185101416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723948160).

5185101416 is an abundant number, since it is smaller than the sum of its proper divisors (6262794904).

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

5185101416 is a wasteful number, since it uses less digits than its factorization.

5185101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 32.

The square root of 5185101416 is about 72007.6483159949. The cubic root of 5185101416 is about 1730.8220464264.

It can be divided in two parts, 5185 and 101416, that added together give a palindrome (106601).

The spelling of 5185101416 in words is "five billion, one hundred eighty-five million, one hundred one thousand, four hundred sixteen".