263798265120 has 288 divisors, whose sum is σ = 901615022784. Its totient is φ = 64804147200.

The previous prime is 263798265091. The next prime is 263798265127. The reversal of 263798265120 is 21562897362.

It is a happy number.

It is a super-2 number, since 2×263798265120² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (263798265127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43882915 + ... + 43888925.

It is an arithmetic number, because the mean of its divisors is an integer number (3130607718).

Almost surely, 2^263798265120 is an apocalyptic number.

263798265120 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 263798265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450807511392).

263798265120 is an abundant number, since it is smaller than the sum of its proper divisors (637816757664).

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

263798265120 is a wasteful number, since it uses less digits than its factorization.

263798265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 263798265120 in words is "two hundred sixty-three billion, seven hundred ninety-eight million, two hundred sixty-five thousand, one hundred twenty".