116257801113792 has 1120 divisors, whose sum is σ = 412654098053120. Its totient is φ = 32032561397760.

The previous prime is 116257801113757. The next prime is 116257801113793. The reversal of 116257801113792 is 297311108752611.

It is a happy number.

116257801113792 is a `hidden beast` number, since 1 + 1 + 6 + 257 + 8 + 0 + 1 + 11 + 379 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116257801113793) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1706803128 + ... + 1706871240.

It is an arithmetic number, because the mean of its divisors is an integer number (368441158976).

Almost surely, 2^{116257801113792} is an apocalyptic number.

116257801113792 is a gapful number since it is divisible by the number (12) 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 116257801113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206327049026560).

116257801113792 is an abundant number, since it is smaller than the sum of its proper divisors (296396296939328).

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

116257801113792 is a wasteful number, since it uses less digits than its factorization.

116257801113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68243 (or 68224 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 116257801113792 in words is "one hundred sixteen trillion, two hundred fifty-seven billion, eight hundred one million, one hundred thirteen thousand, seven hundred ninety-two".