56537395200 has 1404 divisors, whose sum is σ = 247207328760. Its totient is φ = 12651724800.

The previous prime is 56537395141. The next prime is 56537395207. The reversal of 56537395200 is 259373565.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56537395200 is a `hidden beast` number, since 5 + 6 + 53 + 7 + 395 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1404).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56537395207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4349030394 + ... + 4349030406.

Almost surely, 2^56537395200 is an apocalyptic number.

56537395200 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 56537395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123603664380).

56537395200 is an abundant number, since it is smaller than the sum of its proper divisors (190669933560).

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

56537395200 is a wasteful number, since it uses less digits than its factorization.

56537395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 56537395200 in words is "fifty-six billion, five hundred thirty-seven million, three hundred ninety-five thousand, two hundred".