263088072000 has 672 divisors, whose sum is σ = 1046311977984. Its totient is φ = 62664192000.

The previous prime is 263088071999. The next prime is 263088072001. The reversal of 263088072000 is 270880362.

It is a happy number.

263088072000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263088071999) and next prime (263088072001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263088072001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29011467 + ... + 29020533.

It is an arithmetic number, because the mean of its divisors is an integer number (1557011872).

Almost surely, 2^263088072000 is an apocalyptic number.

263088072000 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 263088072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523155988992).

263088072000 is an abundant number, since it is smaller than the sum of its proper divisors (783223905984).

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

263088072000 is a wasteful number, since it uses less digits than its factorization.

263088072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 263088072000 in words is "two hundred sixty-three billion, eighty-eight million, seventy-two thousand".