263415819420 has 384 divisors, whose sum is σ = 900196577280. Its totient is φ = 63557913600.

The previous prime is 263415819379. The next prime is 263415819421. The reversal of 263415819420 is 24918514362.

263415819420 is a `hidden beast` number, since 2 + 6 + 3 + 41 + 581 + 9 + 4 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263415819421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73027257 + ... + 73030863.

It is an arithmetic number, because the mean of its divisors is an integer number (2344261920).

Almost surely, 2^263415819420 is an apocalyptic number.

263415819420 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 263415819420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450098288640).

263415819420 is an abundant number, since it is smaller than the sum of its proper divisors (636780757860).

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

263415819420 is a wasteful number, since it uses less digits than its factorization.

263415819420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 263415819420 in words is "two hundred sixty-three billion, four hundred fifteen million, eight hundred nineteen thousand, four hundred twenty".