11518406358030 has 448 divisors, whose sum is σ = 36542116154880. Its totient is φ = 2575985068800.

The previous prime is 11518406358023. The next prime is 11518406358061. The reversal of 11518406358030 is 3085360481511.

11518406358030 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 8 + 4 + 0 + 63 + 580 + 3 + 0 = 666.

11518406358030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3097176511 + ... + 3097180229.

It is an arithmetic number, because the mean of its divisors is an integer number (81567223560).

Almost surely, 2^{11518406358030} is an apocalyptic number.

11518406358030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11518406358030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271058077440).

11518406358030 is an abundant number, since it is smaller than the sum of its proper divisors (25023709796850).

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

11518406358030 is a wasteful number, since it uses less digits than its factorization.

11518406358030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11518406358030 in words is "eleven trillion, five hundred eighteen billion, four hundred six million, three hundred fifty-eight thousand, thirty".