116288804869380 has 1536 divisors, whose sum is σ = 445971352780800. Its totient is φ = 24771088742400.

The previous prime is 116288804869357. The next prime is 116288804869387. The reversal of 116288804869380 is 83968408882611.

116288804869380 is a `hidden beast` number, since 1 + 1 + 62 + 8 + 8 + 8 + 0 + 486 + 9 + 3 + 80 = 666.

It is a super-2 number, since 2×116288804869380² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116288804869299 and 116288804869308.

It is not an unprimeable number, because it can be changed into a prime (116288804869387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 58057315459 + ... + 58057317461.

It is an arithmetic number, because the mean of its divisors is an integer number (290345932800).

Almost surely, 2^{116288804869380} is an apocalyptic number.

116288804869380 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 116288804869380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222985676390400).

116288804869380 is an abundant number, since it is smaller than the sum of its proper divisors (329682547911420).

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

116288804869380 is a wasteful number, since it uses less digits than its factorization.

116288804869380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 116288804869380 in words is "one hundred sixteen trillion, two hundred eighty-eight billion, eight hundred four million, eight hundred sixty-nine thousand, three hundred eighty".