116921012682240 has 1280 divisors, whose sum is σ = 465943377715200. Its totient is φ = 27602170675200.

The previous prime is 116921012682217. The next prime is 116921012682247. The reversal of 116921012682240 is 42286210129611.

116921012682240 is a `hidden beast` number, since 1 + 1 + 69 + 2 + 101 + 268 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×116921012682240² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116921012682247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2173589745 + ... + 2173643535.

It is an arithmetic number, because the mean of its divisors is an integer number (364018263840).

Almost surely, 2^{116921012682240} is an apocalyptic number.

116921012682240 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 116921012682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232971688857600).

116921012682240 is an abundant number, since it is smaller than the sum of its proper divisors (349022365032960).

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

116921012682240 is a wasteful number, since it uses less digits than its factorization.

116921012682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53936 (or 53914 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 116921012682240 in words is "one hundred sixteen trillion, nine hundred twenty-one billion, twelve million, six hundred eighty-two thousand, two hundred forty".