263785092480 has 2048 divisors, whose sum is σ = 1236533760000. Its totient is φ = 52242776064.

The previous prime is 263785092457. The next prime is 263785092481. The reversal of 263785092480 is 84290587362.

263785092480 is a `hidden beast` number, since 2 + 6 + 3 + 78 + 5 + 0 + 92 + 480 = 666.

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 (263785092481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2420046666 + ... + 2420046774.

It is an arithmetic number, because the mean of its divisors is an integer number (603776250).

Almost surely, 2^263785092480 is an apocalyptic number.

263785092480 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 263785092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618266880000).

263785092480 is an abundant number, since it is smaller than the sum of its proper divisors (972748667520).

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

263785092480 is a wasteful number, since it uses less digits than its factorization.

263785092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 263785092480 in words is "two hundred sixty-three billion, seven hundred eighty-five million, ninety-two thousand, four hundred eighty".