263816047872 has 576 divisors, whose sum is σ = 875493928960. Its totient is φ = 77826686976.

The previous prime is 263816047841. The next prime is 263816047877. The reversal of 263816047872 is 278740618362.

263816047872 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 160 + 478 + 7 + 2 = 666.

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

It is a super-2 number, since 2×263816047872² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263816047877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242700513 + ... + 242701599.

Almost surely, 2^263816047872 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 263816047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437746964480).

263816047872 is an abundant number, since it is smaller than the sum of its proper divisors (611677881088).

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

263816047872 is a wasteful number, since it uses less digits than its factorization.

263816047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 263816047872 in words is "two hundred sixty-three billion, eight hundred sixteen million, forty-seven thousand, eight hundred seventy-two".