116205457040 has 160 divisors (see below), whose sum is σ = 293785634016. Its totient is φ = 42573496320.

The previous prime is 116205456973. The next prime is 116205457103. The reversal of 116205457040 is 40754502611.

It can be written as a sum of positive squares in 16 ways, for example, as 47049080464 + 69156376576 = 216908^2 + 262976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24141674 + ... + 24146486.

Almost surely, 2^116205457040 is an apocalyptic number.

116205457040 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 116205457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146892817008).

116205457040 is an abundant number, since it is smaller than the sum of its proper divisors (177580176976).

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

116205457040 is a wasteful number, since it uses less digits than its factorization.

116205457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 116205457040 its reverse (40754502611), we get a palindrome (156959959651).

The spelling of 116205457040 in words is "one hundred sixteen billion, two hundred five million, four hundred fifty-seven thousand, forty".