56541312000 has 264 divisors, whose sum is σ = 203754891912. Its totient is φ = 15077376000.

The previous prime is 56541311917. The next prime is 56541312001. The reversal of 56541312000 is 21314565.

56541312000 is a `hidden beast` number, since 5 + 654 + 1 + 3 + 1 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2434830336 + 54106481664 = 49344^2 + 232608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56541312001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127460 + ... + 1176540.

It is an arithmetic number, because the mean of its divisors is an integer number (771798833).

Almost surely, 2^56541312000 is an apocalyptic number.

56541312000 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 56541312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101877445956).

56541312000 is an abundant number, since it is smaller than the sum of its proper divisors (147213579912).

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

56541312000 is a wasteful number, since it uses less digits than its factorization.

56541312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49122 (or 49091 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 56541312000 its reverse (21314565), we get a palindrome (56562626565).

The spelling of 56541312000 in words is "fifty-six billion, five hundred forty-one million, three hundred twelve thousand".