5681415600 has 480 divisors, whose sum is σ = 23282954240. Its totient is φ = 1288949760.

The previous prime is 5681415599. The next prime is 5681415617. The reversal of 5681415600 is 65141865.

5681415600 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 41 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16858632 + ... + 16858968.

Almost surely, 2^5681415600 is an apocalyptic number.

5681415600 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 5681415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641477120).

5681415600 is an abundant number, since it is smaller than the sum of its proper divisors (17601538640).

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

5681415600 is a wasteful number, since it uses less digits than its factorization.

5681415600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

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

The square root of 5681415600 is about 75375.1656714597. The cubic root of 5681415600 is about 1784.3724932207.

The spelling of 5681415600 in words is "five billion, six hundred eighty-one million, four hundred fifteen thousand, six hundred".