116390424821760 has 2400 divisors, whose sum is σ = 456965004367872. Its totient is φ = 28252663971840.

The previous prime is 116390424821689. The next prime is 116390424821761. The reversal of 116390424821760 is 67128424093611.

116390424821760 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 90 + 4 + 2 + 482 + 1 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116390424821697 and 116390424821706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116390424821761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 345372180312 + ... + 345372180648.

Almost surely, 2^{116390424821760} is an apocalyptic number.

116390424821760 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 116390424821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228482502183936).

116390424821760 is an abundant number, since it is smaller than the sum of its proper divisors (340574579546112).

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

116390424821760 is an equidigital number, since it uses as much as digits as its factorization.

116390424821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 116390424821760 in words is "one hundred sixteen trillion, three hundred ninety billion, four hundred twenty-four million, eight hundred twenty-one thousand, seven hundred sixty".