263249966400 has 168 divisors, whose sum is σ = 891540390144. Its totient is φ = 67935436800.

The previous prime is 263249966377. The next prime is 263249966407. The reversal of 263249966400 is 4669942362.

It is a happy number.

It is a super-2 number, since 2×263249966400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263249966407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735777 + ... + 1033376.

Almost surely, 2^263249966400 is an apocalyptic number.

263249966400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263249966400 is an abundant number, since it is smaller than the sum of its proper divisors (628290423744).

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

263249966400 is a wasteful number, since it uses less digits than its factorization.

263249966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769209 (or 1769194 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 263249966400 in words is "two hundred sixty-three billion, two hundred forty-nine million, nine hundred sixty-six thousand, four hundred".