263838388400 has 180 divisors, whose sum is σ = 686072307312. Its totient is φ = 97451028480.

The previous prime is 263838388397. The next prime is 263838388403. The reversal of 263838388400 is 4883838362.

It is an interprime number because it is at equal distance from previous prime (263838388397) and next prime (263838388403).

It is a super-2 number, since 2×263838388400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (263838388403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6105269 + ... + 6148331.

Almost surely, 2^263838388400 is an apocalyptic number.

263838388400 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 263838388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343036153656).

263838388400 is an abundant number, since it is smaller than the sum of its proper divisors (422233918912).

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

263838388400 is a wasteful number, since it uses less digits than its factorization.

263838388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43168 (or 43140 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 53.

The spelling of 263838388400 in words is "two hundred sixty-three billion, eight hundred thirty-eight million, three hundred eighty-eight thousand, four hundred".