1267315382520 has 896 divisors, whose sum is σ = 4773132748800. Its totient is φ = 300128716800.

The previous prime is 1267315382513. The next prime is 1267315382527. The reversal of 1267315382520 is 252835137621.

1267315382520 is a `hidden beast` number, since 1 + 2 + 6 + 73 + 1 + 53 + 8 + 2 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1267315382513) and next prime (1267315382527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267315382527) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2940406705 + ... + 2940407135.

Almost surely, 2^{1267315382520} is an apocalyptic number.

1267315382520 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 1267315382520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386566374400).

1267315382520 is an abundant number, since it is smaller than the sum of its proper divisors (3505817366280).

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

1267315382520 is a wasteful number, since it uses less digits than its factorization.

1267315382520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1267315382520 in words is "one trillion, two hundred sixty-seven billion, three hundred fifteen million, three hundred eighty-two thousand, five hundred twenty".