263280172800 has 648 divisors, whose sum is σ = 946323598080. Its totient is φ = 64281600000.

The previous prime is 263280172783. The next prime is 263280172801. The reversal of 263280172800 is 8271082362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263280172801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350572425 + ... + 350573175.

Almost surely, 2^263280172800 is an apocalyptic number.

263280172800 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 263280172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473161799040).

263280172800 is an abundant number, since it is smaller than the sum of its proper divisors (683043425280).

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

263280172800 is a wasteful number, since it uses less digits than its factorization.

263280172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 263280172800 in words is "two hundred sixty-three billion, two hundred eighty million, one hundred seventy-two thousand, eight hundred".