263152336896 has 576 divisors, whose sum is σ = 842548573440. Its totient is φ = 80971038720.

The previous prime is 263152336879. The next prime is 263152336933. The reversal of 263152336896 is 698633251362.

263152336896 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 523 + 36 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8398080) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4313972706 + ... + 4313972766.

It is an arithmetic number, because the mean of its divisors is an integer number (1462757940).

Almost surely, 2^263152336896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263152336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421274286720).

263152336896 is an abundant number, since it is smaller than the sum of its proper divisors (579396236544).

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

263152336896 is an frugal number, since it uses more digits than its factorization.

263152336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 263152336896 in words is "two hundred sixty-three billion, one hundred fifty-two million, three hundred thirty-six thousand, eight hundred ninety-six".