56772643200 has 576 divisors, whose sum is σ = 231458400000. Its totient is φ = 11976007680.

The previous prime is 56772643171. The next prime is 56772643201. The reversal of 56772643200 is 234627765.

56772643200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56772643201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11354301 + ... + 11359299.

It is an arithmetic number, because the mean of its divisors is an integer number (401837500).

Almost surely, 2^56772643200 is an apocalyptic number.

56772643200 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 56772643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115729200000).

56772643200 is an abundant number, since it is smaller than the sum of its proper divisors (174685756800).

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

56772643200 is a wasteful number, since it uses less digits than its factorization.

56772643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 56772643200 in words is "fifty-six billion, seven hundred seventy-two million, six hundred forty-three thousand, two hundred".