11155260563616 has 192 divisors, whose sum is σ = 31847901708672. Its totient is φ = 3398402015232.

The previous prime is 11155260563591. The next prime is 11155260563617. The reversal of 11155260563616 is 61636506255111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11155260563617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134354371 + ... + 134437373.

It is an arithmetic number, because the mean of its divisors is an integer number (165874488066).

Almost surely, 2^{11155260563616} is an apocalyptic number.

11155260563616 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 11155260563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923950854336).

11155260563616 is an abundant number, since it is smaller than the sum of its proper divisors (20692641145056).

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

11155260563616 is a wasteful number, since it uses less digits than its factorization.

11155260563616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84095 (or 84087 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 11155260563616 in words is "eleven trillion, one hundred fifty-five billion, two hundred sixty million, five hundred sixty-three thousand, six hundred sixteen".