263134700820 has 384 divisors, whose sum is σ = 878568768000. Its totient is φ = 65184030720.

The previous prime is 263134700809. The next prime is 263134700861. The reversal of 263134700820 is 28007431362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 371134626 + ... + 371135334.

It is an arithmetic number, because the mean of its divisors is an integer number (2287939500).

Almost surely, 2^263134700820 is an apocalyptic number.

263134700820 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 263134700820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439284384000).

263134700820 is an abundant number, since it is smaller than the sum of its proper divisors (615434067180).

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

263134700820 is a wasteful number, since it uses less digits than its factorization.

263134700820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 263134700820 in words is "two hundred sixty-three billion, one hundred thirty-four million, seven hundred thousand, eight hundred twenty".