563135300640000 has 2160 divisors, whose sum is σ = 2382057350697024. Its totient is φ = 126377164800000.

The previous prime is 563135300639999. The next prime is 563135300640023. The reversal of 563135300640000 is 46003531365.

563135300640000 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 3 + 5 + 3 + 0 + 0 + 640 + 0 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 16426062859 + ... + 16426097141.

Almost surely, 2^{563135300640000} is an apocalyptic number.

563135300640000 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 563135300640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191028675348512).

563135300640000 is an abundant number, since it is smaller than the sum of its proper divisors (1818922050057024).

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

563135300640000 is a wasteful number, since it uses less digits than its factorization.

563135300640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34414 (or 34382 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 563135300640000 in words is "five hundred sixty-three trillion, one hundred thirty-five billion, three hundred million, six hundred forty thousand".