263512572449280 has 5120 divisors, whose sum is σ = 1213393057873920. Its totient is φ = 47087773286400.

The previous prime is 263512572449261. The next prime is 263512572449327. The reversal of 263512572449280 is 82944275215362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 695283832131 + ... + 695283832509.

It is an arithmetic number, because the mean of its divisors is an integer number (236990831616).

It is a 1-persistent number, because it is pandigital, but 2⋅263512572449280 = 527025144898560 is not.

Almost surely, 2^{263512572449280} is an apocalyptic number.

263512572449280 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 263512572449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606696528936960).

263512572449280 is an abundant number, since it is smaller than the sum of its proper divisors (949880485424640).

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

263512572449280 is a wasteful number, since it uses less digits than its factorization.

263512572449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 263512572449280 in words is "two hundred sixty-three trillion, five hundred twelve billion, five hundred seventy-two million, four hundred forty-nine thousand, two hundred eighty".