1269016879104 has 672 divisors, whose sum is σ = 4312930911840. Its totient is φ = 367314075648.

The previous prime is 1269016879103. The next prime is 1269016879127. The reversal of 1269016879104 is 4019786109621.

It is a super-2 number, since 2×1269016879104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1269016879103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 635460634 + ... + 635462630.

Almost surely, 2^{1269016879104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1269016879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156465455920).

1269016879104 is an abundant number, since it is smaller than the sum of its proper divisors (3043914032736).

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

1269016879104 is a wasteful number, since it uses less digits than its factorization.

1269016879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1269016879104 in words is "one trillion, two hundred sixty-nine billion, sixteen million, eight hundred seventy-nine thousand, one hundred four".