263994888960 has 1728 divisors, whose sum is σ = 1131380490240. Its totient is φ = 58226688000.

The previous prime is 263994888959. The next prime is 263994889001. The reversal of 263994888960 is 69888499362.

It is a happy number.

263994888960 is a `hidden beast` number, since 2 + 6 + 3 + 9 + 9 + 488 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2015228095 + ... + 2015228225.

It is an arithmetic number, because the mean of its divisors is an integer number (654734080).

Almost surely, 2^263994888960 is an apocalyptic number.

263994888960 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 263994888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565690245120).

263994888960 is an abundant number, since it is smaller than the sum of its proper divisors (867385601280).

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

263994888960 is a wasteful number, since it uses less digits than its factorization.

263994888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 263994888960 in words is "two hundred sixty-three billion, nine hundred ninety-four million, eight hundred eighty-eight thousand, nine hundred sixty".