116553826480 has 960 divisors, whose sum is σ = 387503948160. Its totient is φ = 32105299968.

The previous prime is 116553826471. The next prime is 116553826481. The reversal of 116553826480 is 84628355611.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (116553826481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1201585792 + ... + 1201585888.

It is an arithmetic number, because the mean of its divisors is an integer number (403649946).

Almost surely, 2^116553826480 is an apocalyptic number.

116553826480 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 116553826480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193751974080).

116553826480 is an abundant number, since it is smaller than the sum of its proper divisors (270950121680).

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

116553826480 is a wasteful number, since it uses less digits than its factorization.

116553826480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 116553826480 in words is "one hundred sixteen billion, five hundred fifty-three million, eight hundred twenty-six thousand, four hundred eighty".