1377315104256 has 960 divisors, whose sum is σ = 5104773273600. Its totient is φ = 361017409536.

The previous prime is 1377315104213. The next prime is 1377315104273. The reversal of 1377315104256 is 6524015137731.

1377315104256 is a `hidden beast` number, since 1 + 3 + 7 + 73 + 151 + 0 + 425 + 6 = 666.

It is a super-2 number, since 2×1377315104256² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2705923330 + ... + 2705923838.

It is an arithmetic number, because the mean of its divisors is an integer number (5317472160).

Almost surely, 2^{1377315104256} is an apocalyptic number.

1377315104256 is a gapful number since it is divisible by the number (16) 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 1377315104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552386636800).

1377315104256 is an abundant number, since it is smaller than the sum of its proper divisors (3727458169344).

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

1377315104256 is an equidigital number, since it uses as much as digits as its factorization.

1377315104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1377315104256 in words is "one trillion, three hundred seventy-seven billion, three hundred fifteen million, one hundred four thousand, two hundred fifty-six".