563851778400 has 864 divisors, whose sum is σ = 2136921665760. Its totient is φ = 143434137600.

The previous prime is 563851778389. The next prime is 563851778401. The reversal of 563851778400 is 4877158365.

It is a happy number.

563851778400 is a `hidden beast` number, since 5 + 63 + 8 + 5 + 177 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563851778401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1924408654 + ... + 1924408946.

It is an arithmetic number, because the mean of its divisors is an integer number (2473288965).

Almost surely, 2^563851778400 is an apocalyptic number.

563851778400 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 563851778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068460832880).

563851778400 is an abundant number, since it is smaller than the sum of its proper divisors (1573069887360).

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

563851778400 is a wasteful number, since it uses less digits than its factorization.

563851778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 563851778400 in words is "five hundred sixty-three billion, eight hundred fifty-one million, seven hundred seventy-eight thousand, four hundred".