263338530840 has 512 divisors, whose sum is σ = 1119860121600. Its totient is φ = 53446417920.

The previous prime is 263338530839. The next prime is 263338530859. The reversal of 263338530840 is 48035833362.

263338530840 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 38 + 530 + 84 + 0 = 666.

It is a super-2 number, since 2×263338530840² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3539059 + ... + 3612701.

It is an arithmetic number, because the mean of its divisors is an integer number (2187226800).

Almost surely, 2^263338530840 is an apocalyptic number.

263338530840 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 263338530840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559930060800).

263338530840 is an abundant number, since it is smaller than the sum of its proper divisors (856521590760).

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

263338530840 is a wasteful number, since it uses less digits than its factorization.

263338530840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73724 (or 73714 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 263338530840 in words is "two hundred sixty-three billion, three hundred thirty-eight million, five hundred thirty thousand, eight hundred forty".