116435260480 has 168 divisors, whose sum is σ = 348296203584. Its totient is φ = 36291425280.

The previous prime is 116435260453. The next prime is 116435260481. The reversal of 116435260480 is 84062534611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (116435260481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56247 + ... + 485833.

It is an arithmetic number, because the mean of its divisors is an integer number (2073191688).

Almost surely, 2^116435260480 is an apocalyptic number.

116435260480 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 116435260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174148101792).

116435260480 is an abundant number, since it is smaller than the sum of its proper divisors (231860943104).

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

116435260480 is a wasteful number, since it uses less digits than its factorization.

116435260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429633 (or 429612 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 116435260480 in words is "one hundred sixteen billion, four hundred thirty-five million, two hundred sixty thousand, four hundred eighty".