116264728300080 has 1920 divisors, whose sum is σ = 416277905080320. Its totient is φ = 26772631142400.

The previous prime is 116264728300069. The next prime is 116264728300207. The reversal of 116264728300080 is 80003827462611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 769965088005 + ... + 769965088155.

It is an arithmetic number, because the mean of its divisors is an integer number (216811408896).

Almost surely, 2^{116264728300080} is an apocalyptic number.

116264728300080 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 116264728300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208138952540160).

116264728300080 is an abundant number, since it is smaller than the sum of its proper divisors (300013176780240).

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

116264728300080 is a wasteful number, since it uses less digits than its factorization.

116264728300080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 116264728300080 in words is "one hundred sixteen trillion, two hundred sixty-four billion, seven hundred twenty-eight million, three hundred thousand, eighty".