75306416850 has 216 divisors, whose sum is σ = 244074409488. Its totient is φ = 17212759200.

The previous prime is 75306416833. The next prime is 75306416891. The reversal of 75306416850 is 5861460357.

75306416850 is a `hidden beast` number, since 7 + 530 + 6 + 4 + 1 + 68 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 75306416796 and 75306416805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 532105 + ... + 658595.

It is an arithmetic number, because the mean of its divisors is an integer number (1129974118).

Almost surely, 2^75306416850 is an apocalyptic number.

75306416850 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75306416850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122037204744).

75306416850 is an abundant number, since it is smaller than the sum of its proper divisors (168767992638).

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

75306416850 is a wasteful number, since it uses less digits than its factorization.

75306416850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126532 (or 126508 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 75306416850 in words is "seventy-five billion, three hundred six million, four hundred sixteen thousand, eight hundred fifty".