1269265400064 has 576 divisors, whose sum is σ = 4222809158400. Its totient is φ = 374041608192.

The previous prime is 1269265400063. The next prime is 1269265400069. The reversal of 1269265400064 is 4600045629621.

1269265400064 is a `hidden beast` number, since 1 + 26 + 9 + 26 + 540 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1269265400064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1269265399992 and 1269265400019.

It is not an unprimeable number, because it can be changed into a prime (1269265400063) 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 63 ways as a sum of consecutive naturals, for example, 126076759 + ... + 126086825.

It is an arithmetic number, because the mean of its divisors is an integer number (7331265900).

Almost surely, 2^{1269265400064} 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 1269265400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111404579200).

1269265400064 is an abundant number, since it is smaller than the sum of its proper divisors (2953543758336).

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

1269265400064 is a wasteful number, since it uses less digits than its factorization.

1269265400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1269265400064 in words is "one trillion, two hundred sixty-nine billion, two hundred sixty-five million, four hundred thousand, sixty-four".