1267521396960 has 384 divisors, whose sum is σ = 4924015488000. Its totient is φ = 266892558336.

The previous prime is 1267521396893. The next prime is 1267521396971. The reversal of 1267521396960 is 696931257621.

It is a super-2 number, since 2×1267521396960² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1267521396960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21767244 + ... + 21825396.

It is an arithmetic number, because the mean of its divisors is an integer number (12822957000).

Almost surely, 2^{1267521396960} is an apocalyptic number.

1267521396960 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 1267521396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462007744000).

1267521396960 is an abundant number, since it is smaller than the sum of its proper divisors (3656494091040).

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

1267521396960 is a wasteful number, since it uses less digits than its factorization.

1267521396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58690 (or 58682 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 1267521396960 in words is "one trillion, two hundred sixty-seven billion, five hundred twenty-one million, three hundred ninety-six thousand, nine hundred sixty".