1276777611264 has 240 divisors, whose sum is σ = 3474193262400. Its totient is φ = 416948944896.

The previous prime is 1276777611253. The next prime is 1276777611281. The reversal of 1276777611264 is 4621167776721.

It is a happy number.

It is a super-2 number, since 2×1276777611264² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151286742 + ... + 1151287850.

It is an arithmetic number, because the mean of its divisors is an integer number (14475805260).

Almost surely, 2^{1276777611264} 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 1276777611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737096631200).

1276777611264 is an abundant number, since it is smaller than the sum of its proper divisors (2197415651136).

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

1276777611264 is an equidigital number, since it uses as much as digits as its factorization.

1276777611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1570 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 57.

It can be divided in two parts, 12767776 and 11264, that added together give a triangular number (12779040 = T₅₀₅₅).

The spelling of 1276777611264 in words is "one trillion, two hundred seventy-six billion, seven hundred seventy-seven million, six hundred eleven thousand, two hundred sixty-four".