263196130560 has 864 divisors, whose sum is σ = 984447959040. Its totient is φ = 59368243200.

The previous prime is 263196130517. The next prime is 263196130597. The reversal of 263196130560 is 65031691362.

263196130560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×263196130560³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101238921 + ... + 1101239159.

It is an arithmetic number, because the mean of its divisors is an integer number (1139407360).

Almost surely, 2^263196130560 is an apocalyptic number.

263196130560 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 263196130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492223979520).

263196130560 is an abundant number, since it is smaller than the sum of its proper divisors (721251828480).

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

263196130560 is a wasteful number, since it uses less digits than its factorization.

263196130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 263196130560 in words is "two hundred sixty-three billion, one hundred ninety-six million, one hundred thirty thousand, five hundred sixty".