263016823680 has 1536 divisors, whose sum is σ = 1100295705600. Its totient is φ = 59480801280.

The previous prime is 263016823669. The next prime is 263016823681. The reversal of 263016823680 is 86328610362.

It is a happy number.

263016823680 is a `hidden beast` number, since 2 + 630 + 1 + 6 + 8 + 2 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263016823681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1574950957 + ... + 1574951123.

It is an arithmetic number, because the mean of its divisors is an integer number (716338350).

Almost surely, 2^263016823680 is an apocalyptic number.

263016823680 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 263016823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550147852800).

263016823680 is an abundant number, since it is smaller than the sum of its proper divisors (837278881920).

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

263016823680 is a wasteful number, since it uses less digits than its factorization.

263016823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 263016823680 in words is "two hundred sixty-three billion, sixteen million, eight hundred twenty-three thousand, six hundred eighty".