116408772480 has 1024 divisors, whose sum is σ = 511974328320. Its totient is φ = 21711421440.

The previous prime is 116408772407. The next prime is 116408772509. The reversal of 116408772480 is 84277804611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71110222 + ... + 71111858.

It is an arithmetic number, because the mean of its divisors is an integer number (499974930).

Almost surely, 2^116408772480 is an apocalyptic number.

116408772480 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 116408772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255987164160).

116408772480 is an abundant number, since it is smaller than the sum of its proper divisors (395565555840).

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

116408772480 is a wasteful number, since it uses less digits than its factorization.

116408772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

It can be divided in two parts, 116408 and 772480, that added together give a palindrome (888888).

The spelling of 116408772480 in words is "one hundred sixteen billion, four hundred eight million, seven hundred seventy-two thousand, four hundred eighty".