116754572309760 has 1440 divisors, whose sum is σ = 533560399029504. Its totient is φ = 23668899840000.

The previous prime is 116754572309707. The next prime is 116754572309761. The reversal of 116754572309760 is 67903275457611.

116754572309760 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 5 + 457 + 2 + 30 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116754572309761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327139410 + ... + 327496110.

Almost surely, 2^{116754572309760} is an apocalyptic number.

116754572309760 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 116754572309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266780199514752).

116754572309760 is an abundant number, since it is smaller than the sum of its proper divisors (416805826719744).

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

116754572309760 is a wasteful number, since it uses less digits than its factorization.

116754572309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356793 (or 356770 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 116754572309760 in words is "one hundred sixteen trillion, seven hundred fifty-four billion, five hundred seventy-two million, three hundred nine thousand, seven hundred sixty".