242116186475520 has 880 divisors, whose sum is σ = 992546167990080. Its totient is φ = 55285326544896.

The previous prime is 242116186475503. The next prime is 242116186475561. The reversal of 242116186475520 is 25574681611242.

242116186475520 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 6 + 1 + 86 + 4 + 7 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2929126032 + ... + 2929208688.

It is an arithmetic number, because the mean of its divisors is an integer number (1127893372716).

Almost surely, 2^{242116186475520} is an apocalyptic number.

242116186475520 is a gapful number since it is divisible by the number (20) 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 242116186475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496273083995040).

242116186475520 is an abundant number, since it is smaller than the sum of its proper divisors (750429981514560).

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

242116186475520 is a wasteful number, since it uses less digits than its factorization.

242116186475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83710 (or 83683 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 242116186475520 in words is "two hundred forty-two trillion, one hundred sixteen billion, one hundred eighty-six million, four hundred seventy-five thousand, five hundred twenty".