1263806874000 has 800 divisors, whose sum is σ = 5000246963712. Its totient is φ = 305130240000.

The previous prime is 1263806873947. The next prime is 1263806874089. The reversal of 1263806874000 is 4786083621.

1263806874000 is a `hidden beast` number, since 1 + 2 + 638 + 0 + 6 + 8 + 7 + 4 + 0 + 0 + 0 = 666.

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

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, 482920692 + ... + 482923308.

Almost surely, 2^{1263806874000} is an apocalyptic number.

1263806874000 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 1263806874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500123481856).

1263806874000 is an abundant number, since it is smaller than the sum of its proper divisors (3736440089712).

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

1263806874000 is a wasteful number, since it uses less digits than its factorization.

1263806874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1263806874000 in words is "one trillion, two hundred sixty-three billion, eight hundred six million, eight hundred seventy-four thousand".