863561001600 has 768 divisors, whose sum is σ = 3458671488000. Its totient is φ = 208682496000.

The previous prime is 863561001599. The next prime is 863561001623. The reversal of 863561001600 is 6100165368.

It is a happy number.

863561001600 is a `hidden beast` number, since 8 + 6 + 35 + 6 + 10 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341192335 + ... + 341194865.

It is an arithmetic number, because the mean of its divisors is an integer number (4503478500).

Almost surely, 2^863561001600 is an apocalyptic number.

863561001600 is a gapful number since it is divisible by the number (80) 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 863561001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729335744000).

863561001600 is an abundant number, since it is smaller than the sum of its proper divisors (2595110486400).

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

863561001600 is a wasteful number, since it uses less digits than its factorization.

863561001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 863561001600 its reverse (6100165368), we get a palindrome (869661166968).

The spelling of 863561001600 in words is "eight hundred sixty-three billion, five hundred sixty-one million, one thousand, six hundred".