2611111503560 has 256 divisors, whose sum is σ = 7198751232000. Its totient is φ = 832496071680.

The previous prime is 2611111503557. The next prime is 2611111503569. The reversal of 2611111503560 is 653051111162.

It is not an unprimeable number, because it can be changed into a prime (2611111503569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86482787 + ... + 86512973.

It is an arithmetic number, because the mean of its divisors is an integer number (28120122000).

Almost surely, 2^{2611111503560} is an apocalyptic number.

2611111503560 is a gapful number since it is divisible by the number (20) 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 2611111503560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599375616000).

2611111503560 is an abundant number, since it is smaller than the sum of its proper divisors (4587639728440).

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

2611111503560 is a wasteful number, since it uses less digits than its factorization.

2611111503560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30524 (or 30520 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

It can be divided in two parts, 261111 and 1503560, that added together give a palindrome (1764671).

The spelling of 2611111503560 in words is "two trillion, six hundred eleven billion, one hundred eleven million, five hundred three thousand, five hundred sixty".