1136564641560 has 128 divisors (see below), whose sum is σ = 3435069254400. Its totient is φ = 300829401600.

The previous prime is 1136564641501. The next prime is 1136564641561. The reversal of 1136564641560 is 651464656311.

It is a super-2 number, since 2×1136564641560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136564641561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115370635 + ... + 115380485.

It is an arithmetic number, because the mean of its divisors is an integer number (26836478550).

Almost surely, 2^{1136564641560} is an apocalyptic number.

1136564641560 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 1136564641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717534627200).

1136564641560 is an abundant number, since it is smaller than the sum of its proper divisors (2298504612840).

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

1136564641560 is a wasteful number, since it uses less digits than its factorization.

1136564641560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921 (or 16917 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 1136564641560 in words is "one trillion, one hundred thirty-six billion, five hundred sixty-four million, six hundred forty-one thousand, five hundred sixty".