70135595712 has 840 divisors, whose sum is σ = 265172214384. Its totient is φ = 18163740672.

The previous prime is 70135595683. The next prime is 70135595713. The reversal of 70135595712 is 21759553107.

70135595712 is a `hidden beast` number, since 70 + 1 + 3 + 5 + 5 + 9 + 571 + 2 = 666.

It is a super-2 number, since 2×70135595712² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70135595713) 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 119 ways as a sum of consecutive naturals, for example, 221247778 + ... + 221248094.

Almost surely, 2^70135595712 is an apocalyptic number.

70135595712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70135595712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132586107192).

70135595712 is an abundant number, since it is smaller than the sum of its proper divisors (195036618672).

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

70135595712 is a wasteful number, since it uses less digits than its factorization.

70135595712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 70135595712 in words is "seventy billion, one hundred thirty-five million, five hundred ninety-five thousand, seven hundred twelve".