70820115120 has 480 divisors, whose sum is σ = 266854348800. Its totient is φ = 16745895936.

The previous prime is 70820115089. The next prime is 70820115187. The reversal of 70820115120 is 2151102807.

70820115120 is a `hidden beast` number, since 70 + 82 + 0 + 1 + 1 + 512 + 0 = 666.

It is a super-2 number, since 2×70820115120² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 14785686 + ... + 14790474.

It is an arithmetic number, because the mean of its divisors is an integer number (555946560).

Almost surely, 2^70820115120 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 70820115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133427174400).

70820115120 is an abundant number, since it is smaller than the sum of its proper divisors (196034233680).

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

70820115120 is a wasteful number, since it uses less digits than its factorization.

70820115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 70820115120 its reverse (2151102807), we get a palindrome (72971217927).

The spelling of 70820115120 in words is "seventy billion, eight hundred twenty million, one hundred fifteen thousand, one hundred twenty".