116283525120 has 1152 divisors, whose sum is σ = 509993003520. Its totient is φ = 23876075520.

The previous prime is 116283525109. The next prime is 116283525139. The reversal of 116283525120 is 21525382611.

116283525120 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 3 + 525 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×116283525120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252241690 + ... + 252242150.

It is an arithmetic number, because the mean of its divisors is an integer number (442702260).

Almost surely, 2^116283525120 is an apocalyptic number.

116283525120 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 116283525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254996501760).

116283525120 is an abundant number, since it is smaller than the sum of its proper divisors (393709478400).

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

116283525120 is a wasteful number, since it uses less digits than its factorization.

116283525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 116283525120 in words is "one hundred sixteen billion, two hundred eighty-three million, five hundred twenty-five thousand, one hundred twenty".