70164450411120 has 640 divisors, whose sum is σ = 269323962163200. Its totient is φ = 16670668492800.

The previous prime is 70164450411113. The next prime is 70164450411127. The reversal of 70164450411120 is 2111405446107.

70164450411120 is a `hidden beast` number, since 7 + 0 + 1 + 644 + 5 + 0 + 4 + 1 + 1 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70164450411113) and next prime (70164450411127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70164450411127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3184794505 + ... + 3184816535.

It is an arithmetic number, because the mean of its divisors is an integer number (420818690880).

Almost surely, 2^{70164450411120} 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 70164450411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134661981081600).

70164450411120 is an abundant number, since it is smaller than the sum of its proper divisors (199159511752080).

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

70164450411120 is a wasteful number, since it uses less digits than its factorization.

70164450411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26006 (or 25994 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 70164450411120 its reverse (2111405446107), we get a palindrome (72275855857227).

The spelling of 70164450411120 in words is "seventy trillion, one hundred sixty-four billion, four hundred fifty million, four hundred eleven thousand, one hundred twenty".