1311562056420 has 576 divisors, whose sum is σ = 5251129067520. Its totient is φ = 268689657600.

The previous prime is 1311562056419. The next prime is 1311562056473. The reversal of 1311562056420 is 246502651131.

1311562056420 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 6 + 2 + 0 + 5 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 20633527 + ... + 20696993.

It is an arithmetic number, because the mean of its divisors is an integer number (9116543520).

Almost surely, 2^{1311562056420} is an apocalyptic number.

1311562056420 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 1311562056420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625564533760).

1311562056420 is an abundant number, since it is smaller than the sum of its proper divisors (3939567011100).

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

1311562056420 is a wasteful number, since it uses less digits than its factorization.

1311562056420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63581 (or 63566 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1311562056420 in words is "one trillion, three hundred eleven billion, five hundred sixty-two million, fifty-six thousand, four hundred twenty".