87070434971712 has 448 divisors, whose sum is σ = 243388616071680. Its totient is φ = 27432987918336.

The previous prime is 87070434971711. The next prime is 87070434971719. The reversal of 87070434971712 is 21717943407078.

It is not an unprimeable number, because it can be changed into a prime (87070434971711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32696369293 + ... + 32696371955.

Almost surely, 2^{87070434971712} 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 87070434971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121694308035840).

87070434971712 is an abundant number, since it is smaller than the sum of its proper divisors (156318181099968).

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

87070434971712 is a wasteful number, since it uses less digits than its factorization.

87070434971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 60.

The spelling of 87070434971712 in words is "eighty-seven trillion, seventy billion, four hundred thirty-four million, nine hundred seventy-one thousand, seven hundred twelve".