56536000000 has 280 divisors, whose sum is σ = 145775634048. Its totient is φ = 21888000000.

The previous prime is 56535999979. The next prime is 56536000009. The reversal of 56536000000 is 63565.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56536000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 295999905 + ... + 296000095.

Almost surely, 2^56536000000 is an apocalyptic number.

56536000000 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 56536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72887817024).

56536000000 is an abundant number, since it is smaller than the sum of its proper divisors (89239634048).

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

56536000000 is an frugal number, since it uses more digits than its factorization.

56536000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 56536000000 its reverse (63565), we get a palindrome (56536063565).

The spelling of 56536000000 in words is "fifty-six billion, five hundred thirty-six million", and thus it is an aban number.