70013160000 has 1225 divisors, whose sum is σ = 303660306191. Its totient is φ = 16003008000.

The previous prime is 70013159963. The next prime is 70013160001. The reversal of 70013160000 is 6131007.

The square root of 70013160000 is 264600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5489031744 + 64524128256 = 74088^2 + 254016^2 .

It is a tau number, because it is divible by the number of its divisors (1225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70013160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 10001879997 + ... + 10001880003.

Almost surely, 2^70013160000 is an apocalyptic number.

70013160000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

70013160000 is the 264600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70013160000

70013160000 is an abundant number, since it is smaller than the sum of its proper divisors (233647146191).

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

70013160000 is an frugal number, since it uses more digits than its factorization.

70013160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 70013160000 its reverse (6131007), we get a palindrome (70019291007).

The spelling of 70013160000 in words is "seventy billion, thirteen million, one hundred sixty thousand".