78050157120 has 448 divisors, whose sum is σ = 297423840000. Its totient is φ = 19154092032.

The previous prime is 78050157109. The next prime is 78050157151. The reversal of 78050157120 is 2175105087.

78050157120 is a `hidden beast` number, since 7 + 80 + 5 + 0 + 1 + 571 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45938031 + ... + 45939729.

It is an arithmetic number, because the mean of its divisors is an integer number (663892500).

Almost surely, 2^78050157120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78050157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148711920000).

78050157120 is an abundant number, since it is smaller than the sum of its proper divisors (219373682880).

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

78050157120 is a wasteful number, since it uses less digits than its factorization.

78050157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 78050157120 in words is "seventy-eight billion, fifty million, one hundred fifty-seven thousand, one hundred twenty".