5191401600 has 576 divisors, whose sum is σ = 23104860480. Its totient is φ = 1078272000.

The previous prime is 5191401539. The next prime is 5191401623. The reversal of 5191401600 is 61041915.

5191401600 is a `hidden beast` number, since 5 + 19 + 1 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216430 + ... + 2218770.

It is an arithmetic number, because the mean of its divisors is an integer number (40112605).

Almost surely, 2^5191401600 is an apocalyptic number.

5191401600 is a gapful number since it is divisible by the number (50) 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 5191401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552430240).

5191401600 is an abundant number, since it is smaller than the sum of its proper divisors (17913458880).

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

5191401600 is a wasteful number, since it uses less digits than its factorization.

5191401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5191401600 is about 72051.3816661416. The cubic root of 5191401600 is about 1731.5227774212.

The spelling of 5191401600 in words is "five billion, one hundred ninety-one million, four hundred one thousand, six hundred".