11618515440 has 360 divisors, whose sum is σ = 45548736480. Its totient is φ = 2646346752.

The previous prime is 11618515439. The next prime is 11618515453. The reversal of 11618515440 is 4451581611.

11618515440 is a `hidden beast` number, since 1 + 1 + 61 + 8 + 51 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11618515395 and 11618515404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17957197 + ... + 17957843.

It is an arithmetic number, because the mean of its divisors is an integer number (126524268).

Almost surely, 2^11618515440 is an apocalyptic number.

11618515440 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 11618515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774368240).

11618515440 is an abundant number, since it is smaller than the sum of its proper divisors (33930221040).

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

11618515440 is a wasteful number, since it uses less digits than its factorization.

11618515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11618515440 in words is "eleven billion, six hundred eighteen million, five hundred fifteen thousand, four hundred forty".