116406597748320 has 2880 divisors, whose sum is σ = 483398757249408. Its totient is φ = 26302935859200.

The previous prime is 116406597748271. The next prime is 116406597748367. The reversal of 116406597748320 is 23847795604611.

116406597748320 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 6 + 597 + 7 + 4 + 8 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 345420171192 + ... + 345420171528.

It is a 1-persistent number, because it is pandigital, but 2⋅116406597748320 = 232813195496640 is not.

Almost surely, 2^{116406597748320} is an apocalyptic number.

116406597748320 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 116406597748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241699378624704).

116406597748320 is an abundant number, since it is smaller than the sum of its proper divisors (366992159501088).

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

116406597748320 is a wasteful number, since it uses less digits than its factorization.

116406597748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 116406597748320 in words is "one hundred sixteen trillion, four hundred six billion, five hundred ninety-seven million, seven hundred forty-eight thousand, three hundred twenty".