1564231163040 has 2016 divisors, whose sum is σ = 7141234680720. Its totient is φ = 320551354368.

The previous prime is 1564231163021. The next prime is 1564231163071. The reversal of 1564231163040 is 403611324651.

1564231163040 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 2 + 3 + 11 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 445620332304 + 1118610830736 = 667548^2 + 1057644^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 1564231162986 and 1564231163004.

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 335 ways as a sum of consecutive naturals, for example, 2749087876 + ... + 2749088444.

Almost surely, 2^{1564231163040} is an apocalyptic number.

1564231163040 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 1564231163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570617340360).

1564231163040 is an abundant number, since it is smaller than the sum of its proper divisors (5577003517680).

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

1564231163040 is a wasteful number, since it uses less digits than its factorization.

1564231163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1564231163040 its reverse (403611324651), we get a palindrome (1967842487691).

It can be divided in two parts, 1564231 and 163040, that added together give a palindrome (1727271).

The spelling of 1564231163040 in words is "one trillion, five hundred sixty-four billion, two hundred thirty-one million, one hundred sixty-three thousand, forty".