116057768042496 has 896 divisors, whose sum is σ = 380081405952000. Its totient is φ = 30763565973504.

The previous prime is 116057768042473. The next prime is 116057768042501. The reversal of 116057768042496 is 694240867750611.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32793942295 + ... + 32793945833.

Almost surely, 2^{116057768042496} is an apocalyptic number.

116057768042496 is a gapful number since it is divisible by the number (16) 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 116057768042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190040702976000).

116057768042496 is an abundant number, since it is smaller than the sum of its proper divisors (264023637909504).

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

116057768042496 is a wasteful number, since it uses less digits than its factorization.

116057768042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 116057768042496 in words is "one hundred sixteen trillion, fifty-seven billion, seven hundred sixty-eight million, forty-two thousand, four hundred ninety-six".