1263167588480 has 128 divisors (see below), whose sum is σ = 3451745508480. Its totient is φ = 433011843072.

The previous prime is 1263167588477. The next prime is 1263167588489. The reversal of 1263167588480 is 848857613621.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1263167588489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30411887 + ... + 30453393.

It is an arithmetic number, because the mean of its divisors is an integer number (26966761785).

Almost surely, 2^{1263167588480} is an apocalyptic number.

1263167588480 is a gapful number since it is divisible by the number (10) 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 1263167588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725872754240).

1263167588480 is an abundant number, since it is smaller than the sum of its proper divisors (2188577920000).

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

1263167588480 is an equidigital number, since it uses as much as digits as its factorization.

1263167588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48326 (or 48314 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 59.

The spelling of 1263167588480 in words is "one trillion, two hundred sixty-three billion, one hundred sixty-seven million, five hundred eighty-eight thousand, four hundred eighty".