5681919600 has 360 divisors, whose sum is σ = 23722707840. Its totient is φ = 1230266880.

The previous prime is 5681919589. The next prime is 5681919611. The reversal of 5681919600 is 69191865.

5681919600 is a `hidden beast` number, since 568 + 19 + 19 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5681919589) and next prime (5681919611).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 472867 + ... + 484733.

Almost surely, 2^5681919600 is an apocalyptic number.

5681919600 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 5681919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861353920).

5681919600 is an abundant number, since it is smaller than the sum of its proper divisors (18040788240).

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

5681919600 is a wasteful number, since it uses less digits than its factorization.

5681919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 5681919600 is about 75378.5088735510. The cubic root of 5681919600 is about 1784.4252557250.

The spelling of 5681919600 in words is "five billion, six hundred eighty-one million, nine hundred nineteen thousand, six hundred".