5661206400 has 192 divisors, whose sum is σ = 19044852480. Its totient is φ = 1477416960.

The previous prime is 5661206399. The next prime is 5661206459. The reversal of 5661206400 is 46021665.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 444927 + ... + 457473.

It is an arithmetic number, because the mean of its divisors is an integer number (99191940).

Almost surely, 2^5661206400 is an apocalyptic number.

5661206400 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 5661206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522426240).

5661206400 is an abundant number, since it is smaller than the sum of its proper divisors (13383646080).

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

5661206400 is a wasteful number, since it uses less digits than its factorization.

5661206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5661206400 is about 75240.9888292279. The cubic root of 5661206400 is about 1782.2542663150.

The spelling of 5661206400 in words is "five billion, six hundred sixty-one million, two hundred six thousand, four hundred".