56704147200 has 972 divisors, whose sum is σ = 224083110888. Its totient is φ = 14183424000.

The previous prime is 56704147193. The next prime is 56704147217. The reversal of 56704147200 is 274140765.

It is a tau number, because it is divible by the number of its divisors (972).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 561427150 + ... + 561427250.

Almost surely, 2^56704147200 is an apocalyptic number.

56704147200 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 56704147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112041555444).

56704147200 is an abundant number, since it is smaller than the sum of its proper divisors (167378963688).

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

56704147200 is a wasteful number, since it uses less digits than its factorization.

56704147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 56704147200 its reverse (274140765), we get a palindrome (56978287965).

The spelling of 56704147200 in words is "fifty-six billion, seven hundred four million, one hundred forty-seven thousand, two hundred".