263921172480 has 768 divisors, whose sum is σ = 1085486088960. Its totient is φ = 60261138432.

The previous prime is 263921172443. The next prime is 263921172521. The reversal of 263921172480 is 84271129362.

263921172480 is a `hidden beast` number, since 2 + 6 + 3 + 92 + 11 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278691367 + ... + 278692313.

It is an arithmetic number, because the mean of its divisors is an integer number (1413393345).

Almost surely, 2^263921172480 is an apocalyptic number.

263921172480 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 263921172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542743044480).

263921172480 is an abundant number, since it is smaller than the sum of its proper divisors (821564916480).

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

263921172480 is an frugal number, since it uses more digits than its factorization.

263921172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 263921172480 in words is "two hundred sixty-three billion, nine hundred twenty-one million, one hundred seventy-two thousand, four hundred eighty".