1267166427520 has 128 divisors (see below), whose sum is σ = 3473144504640. Its totient is φ = 433068539904.

The previous prime is 1267166427491. The next prime is 1267166427529. The reversal of 1267166427520 is 257246617621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267166427529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950404 + ... + 1854076.

Almost surely, 2^{1267166427520} is an apocalyptic number.

1267166427520 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 1267166427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736572252320).

1267166427520 is an abundant number, since it is smaller than the sum of its proper divisors (2205978077120).

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

1267166427520 is an equidigital number, since it uses as much as digits as its factorization.

1267166427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904012 (or 904000 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 1267166427520 in words is "one trillion, two hundred sixty-seven billion, one hundred sixty-six million, four hundred twenty-seven thousand, five hundred twenty".