70505136000 has 384 divisors, whose sum is σ = 272685853440. Its totient is φ = 17354649600.

The previous prime is 70505135957. The next prime is 70505136001. The reversal of 70505136000 is 63150507.

70505136000 is a `hidden beast` number, since 7 + 0 + 5 + 0 + 51 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70505136001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853169 + ... + 1890831.

It is an arithmetic number, because the mean of its divisors is an integer number (710119410).

Almost surely, 2^70505136000 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 70505136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136342926720).

70505136000 is an abundant number, since it is smaller than the sum of its proper divisors (202180717440).

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

70505136000 is a wasteful number, since it uses less digits than its factorization.

70505136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37711 (or 37686 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 70505136000 its reverse (63150507), we get a palindrome (70568286507).

The spelling of 70505136000 in words is "seventy billion, five hundred five million, one hundred thirty-six thousand".