11178420798240 has 432 divisors, whose sum is σ = 39716368892928. Its totient is φ = 2973022216704.

The previous prime is 11178420798229. The next prime is 11178420798247. The reversal of 11178420798240 is 4289702487111.

11178420798240 is a `hidden beast` number, since 1 + 1 + 1 + 78 + 420 + 79 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (11178420798247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402044179 + ... + 402071981.

It is an arithmetic number, because the mean of its divisors is an integer number (91936039104).

Almost surely, 2^{11178420798240} is an apocalyptic number.

11178420798240 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 11178420798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858184446464).

11178420798240 is an abundant number, since it is smaller than the sum of its proper divisors (28537948094688).

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

11178420798240 is an frugal number, since it uses more digits than its factorization.

11178420798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28225 (or 28196 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 11178420798240 in words is "eleven trillion, one hundred seventy-eight billion, four hundred twenty million, seven hundred ninety-eight thousand, two hundred forty".