11618199290880 has 2816 divisors, whose sum is σ = 52899458304000. Its totient is φ = 2352859840512.

The previous prime is 11618199290879. The next prime is 11618199290899. The reversal of 11618199290880 is 8809299181611.

11618199290880 is a `hidden beast` number, since 1 + 1 + 6 + 181 + 99 + 290 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50734494606 + ... + 50734494834.

It is an arithmetic number, because the mean of its divisors is an integer number (18785319000).

Almost surely, 2^{11618199290880} is an apocalyptic number.

11618199290880 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 11618199290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449729152000).

11618199290880 is an abundant number, since it is smaller than the sum of its proper divisors (41281259013120).

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

11618199290880 is a wasteful number, since it uses less digits than its factorization.

11618199290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 63.

The spelling of 11618199290880 in words is "eleven trillion, six hundred eighteen billion, one hundred ninety-nine million, two hundred ninety thousand, eight hundred eighty".