563837952000 has 448 divisors, whose sum is σ = 1941346180800. Its totient is φ = 145149132800.

The previous prime is 563837951981. The next prime is 563837952017. The reversal of 563837952000 is 259738365.

It is a happy number.

It is a super-2 number, since 2×563837952000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89084836 + ... + 89091164.

Almost surely, 2^563837952000 is an apocalyptic number.

563837952000 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 563837952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970673090400).

563837952000 is an abundant number, since it is smaller than the sum of its proper divisors (1377508228800).

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

563837952000 is an equidigital number, since it uses as much as digits as its factorization.

563837952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 563837952000 in words is "five hundred sixty-three billion, eight hundred thirty-seven million, nine hundred fifty-two thousand".