5161881600 has 312 divisors, whose sum is σ = 18972977120. Its totient is φ = 1375764480.

The previous prime is 5161881583. The next prime is 5161881607. The reversal of 5161881600 is 61881615.

5161881600 is a `hidden beast` number, since 516 + 1 + 8 + 81 + 60 + 0 = 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 (5161881607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763867 + ... + 2765733.

Almost surely, 2^5161881600 is an apocalyptic number.

5161881600 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 5161881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486488560).

5161881600 is an abundant number, since it is smaller than the sum of its proper divisors (13811095520).

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

5161881600 is a wasteful number, since it uses less digits than its factorization.

5161881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5161881600 is about 71846.2358095398. The cubic root of 5161881600 is about 1728.2345360669.

The spelling of 5161881600 in words is "five billion, one hundred sixty-one million, eight hundred eighty-one thousand, six hundred".