1277110054000 has 320 divisors, whose sum is σ = 3434001816960. Its totient is φ = 455500800000.

The previous prime is 1277110053983. The next prime is 1277110054019. The reversal of 1277110054000 is 4500117721.

It is a self number, because there is not a number n which added to its sum of digits gives 1277110054000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242195364 + ... + 242200636.

It is an arithmetic number, because the mean of its divisors is an integer number (10731255678).

Almost surely, 2^{1277110054000} is an apocalyptic number.

1277110054000 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 1277110054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717000908480).

1277110054000 is an abundant number, since it is smaller than the sum of its proper divisors (2156891762960).

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

1277110054000 is a wasteful number, since it uses less digits than its factorization.

1277110054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 1277110054000 in words is "one trillion, two hundred seventy-seven billion, one hundred ten million, fifty-four thousand".