11155611487680 has 1792 divisors, whose sum is σ = 46024019712000. Its totient is φ = 2522380124160.

The previous prime is 11155611487673. The next prime is 11155611487687. The reversal of 11155611487680 is 8678411655111.

It is a happy number.

11155611487680 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 561 + 1 + 4 + 8 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11155611487673) and next prime (11155611487687).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155611487687) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71054850162 + ... + 71054850318.

Almost surely, 2^{11155611487680} is an apocalyptic number.

11155611487680 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 11155611487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012009856000).

11155611487680 is an abundant number, since it is smaller than the sum of its proper divisors (34868408224320).

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

11155611487680 is a wasteful number, since it uses less digits than its factorization.

11155611487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 11155611487680 in words is "eleven trillion, one hundred fifty-five billion, six hundred eleven million, four hundred eighty-seven thousand, six hundred eighty".