1267564126500 has 768 divisors, whose sum is σ = 4898958704640. Its totient is φ = 276928243200.

The previous prime is 1267564126481. The next prime is 1267564126553. The reversal of 1267564126500 is 56214657621.

1267564126500 is a `hidden beast` number, since 1 + 2 + 6 + 75 + 64 + 12 + 6 + 500 = 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 255 ways as a sum of consecutive naturals, for example, 190981182 + ... + 190987818.

It is an arithmetic number, because the mean of its divisors is an integer number (6378852480).

Almost surely, 2^{1267564126500} is an apocalyptic number.

1267564126500 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 1267564126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449479352320).

1267564126500 is an abundant number, since it is smaller than the sum of its proper divisors (3631394578140).

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

1267564126500 is a wasteful number, since it uses less digits than its factorization.

1267564126500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6744 counting only the distinct ones).

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

The spelling of 1267564126500 in words is "one trillion, two hundred sixty-seven billion, five hundred sixty-four million, one hundred twenty-six thousand, five hundred".