263141505760 has 96 divisors (see below), whose sum is σ = 711182384640. Its totient is φ = 90131016192.

The previous prime is 263141505749. The next prime is 263141505791. The reversal of 263141505760 is 67505141362.

263141505760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×263141505760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 1025997 + ... + 1256563.

It is an arithmetic number, because the mean of its divisors is an integer number (7408149840).

Almost surely, 2^263141505760 is an apocalyptic number.

263141505760 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 263141505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355591192320).

263141505760 is an abundant number, since it is smaller than the sum of its proper divisors (448040878880).

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

263141505760 is a wasteful number, since it uses less digits than its factorization.

263141505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231608 (or 231600 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 263141505760 in words is "two hundred sixty-three billion, one hundred forty-one million, five hundred five thousand, seven hundred sixty".