1263558638160 has 800 divisors, whose sum is σ = 5423417379072. Its totient is φ = 265503744000.

The previous prime is 1263558638149. The next prime is 1263558638171. The reversal of 1263558638160 is 618368553621.

It is a happy number.

1263558638160 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 558 + 6 + 3 + 81 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1263558638149) and next prime (1263558638171).

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

It is a junction number, because it is equal to n+sod(n) for n = 1263558638097 and 1263558638106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148005412 + ... + 148013948.

Almost surely, 2^{1263558638160} is an apocalyptic number.

1263558638160 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 1263558638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711708689536).

1263558638160 is an abundant number, since it is smaller than the sum of its proper divisors (4159858740912).

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

1263558638160 is a wasteful number, since it uses less digits than its factorization.

1263558638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1263558638160 in words is "one trillion, two hundred sixty-three billion, five hundred fifty-eight million, six hundred thirty-eight thousand, one hundred sixty".