11803778958816 has 288 divisors, whose sum is σ = 37322400181248. Its totient is φ = 3515442094080.

The previous prime is 11803778958781. The next prime is 11803778958899. The reversal of 11803778958816 is 61885987730811.

11803778958816 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 37 + 7 + 8 + 9 + 588 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19192270 + ... + 19797746.

It is an arithmetic number, because the mean of its divisors is an integer number (129591667296).

Almost surely, 2^{11803778958816} is an apocalyptic number.

11803778958816 is a gapful number since it is divisible by the number (16) 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 11803778958816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661200090624).

11803778958816 is an abundant number, since it is smaller than the sum of its proper divisors (25518621222432).

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

11803778958816 is a wasteful number, since it uses less digits than its factorization.

11803778958816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605674 (or 605663 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 72.

The spelling of 11803778958816 in words is "eleven trillion, eight hundred three billion, seven hundred seventy-eight million, nine hundred fifty-eight thousand, eight hundred sixteen".