1267255807840 has 192 divisors, whose sum is σ = 3365096519232. Its totient is φ = 446977638400.

The previous prime is 1267255807837. The next prime is 1267255807849. The reversal of 1267255807840 is 487085527621.

It is a super-2 number, since 2×1267255807840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267255807849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12432924 + ... + 12534436.

It is an arithmetic number, because the mean of its divisors is an integer number (17526544371).

Almost surely, 2^{1267255807840} is an apocalyptic number.

1267255807840 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 1267255807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682548259616).

1267255807840 is an abundant number, since it is smaller than the sum of its proper divisors (2097840711392).

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

1267255807840 is a wasteful number, since it uses less digits than its factorization.

1267255807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101753 (or 101745 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 55.

The spelling of 1267255807840 in words is "one trillion, two hundred sixty-seven billion, two hundred fifty-five million, eight hundred seven thousand, eight hundred forty".