263680859400 has 192 divisors, whose sum is σ = 940906444800. Its totient is φ = 59836181760.

The previous prime is 263680859359. The next prime is 263680859401. The reversal of 263680859400 is 4958086362.

It is a super-2 number, since 2×263680859400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (263680859401) 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, 357969 + ... + 809631.

It is an arithmetic number, because the mean of its divisors is an integer number (4900554400).

Almost surely, 2^263680859400 is an apocalyptic number.

263680859400 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 263680859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470453222400).

263680859400 is an abundant number, since it is smaller than the sum of its proper divisors (677225585400).

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

263680859400 is a wasteful number, since it uses less digits than its factorization.

263680859400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451828 (or 451819 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 263680859400 in words is "two hundred sixty-three billion, six hundred eighty million, eight hundred fifty-nine thousand, four hundred".