1267790503104 has 168 divisors, whose sum is σ = 3738500704848. Its totient is φ = 410470778880.

The previous prime is 1267790503087. The next prime is 1267790503121. The reversal of 1267790503104 is 4013050977621.

1267790503104 is a `hidden beast` number, since 1 + 2 + 67 + 79 + 0 + 503 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1267790503087) and next prime (1267790503121).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1267790503104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12459474 + ... + 12560814.

It is an arithmetic number, because the mean of its divisors is an integer number (22252980386).

Almost surely, 2^{1267790503104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267790503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869250352424).

1267790503104 is an abundant number, since it is smaller than the sum of its proper divisors (2470710201744).

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

1267790503104 is a wasteful number, since it uses less digits than its factorization.

1267790503104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101983 (or 101970 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1267790503104 in words is "one trillion, two hundred sixty-seven billion, seven hundred ninety million, five hundred three thousand, one hundred four".