116327305751040 has 640 divisors, whose sum is σ = 416363391037440. Its totient is φ = 30784068403200.

The previous prime is 116327305751039. The next prime is 116327305751053. The reversal of 116327305751040 is 40157503723611.

116327305751040 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 7 + 30 + 575 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×116327305751040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7283650255 + ... + 7283666225.

It is an arithmetic number, because the mean of its divisors is an integer number (650567798496).

Almost surely, 2^{116327305751040} is an apocalyptic number.

116327305751040 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 116327305751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208181695518720).

116327305751040 is an abundant number, since it is smaller than the sum of its proper divisors (300036085286400).

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

116327305751040 is a wasteful number, since it uses less digits than its factorization.

116327305751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16801 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 116327305751040 in words is "one hundred sixteen trillion, three hundred twenty-seven billion, three hundred five million, seven hundred fifty-one thousand, forty".