56041761600 has 840 divisors, whose sum is σ = 236664093600. Its totient is φ = 12864614400.

The previous prime is 56041761569. The next prime is 56041761641. The reversal of 56041761600 is 616714065.

56041761600 is a `hidden beast` number, since 5 + 6 + 0 + 41 + 7 + 6 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27085366 + ... + 27087434.

Almost surely, 2^56041761600 is an apocalyptic number.

56041761600 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 56041761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118332046800).

56041761600 is an abundant number, since it is smaller than the sum of its proper divisors (180622332000).

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

56041761600 is a wasteful number, since it uses less digits than its factorization.

56041761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 56041761600 in words is "fifty-six billion, forty-one million, seven hundred sixty-one thousand, six hundred".