263801806400 has 672 divisors, whose sum is σ = 777190256640. Its totient is φ = 87091200000.

The previous prime is 263801806399. The next prime is 263801806427. The reversal of 263801806400 is 4608108362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 973438265 + ... + 973438535.

It is an arithmetic number, because the mean of its divisors is an integer number (1156533120).

Almost surely, 2^263801806400 is an apocalyptic number.

263801806400 is a gapful number since it is divisible by the number (20) 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 263801806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388595128320).

263801806400 is an abundant number, since it is smaller than the sum of its proper divisors (513388450240).

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

263801806400 is a wasteful number, since it uses less digits than its factorization.

263801806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 263801806400 in words is "two hundred sixty-three billion, eight hundred one million, eight hundred six thousand, four hundred".