70315999041600 has 1008 divisors, whose sum is σ = 288116831009280. Its totient is φ = 16750175846400.

The previous prime is 70315999041583. The next prime is 70315999041623. The reversal of 70315999041600 is 614099951307.

70315999041600 is a `hidden beast` number, since 7 + 0 + 3 + 1 + 599 + 9 + 0 + 41 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156462016 + ... + 156910784.

Almost surely, 2^{70315999041600} 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 70315999041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144058415504640).

70315999041600 is an abundant number, since it is smaller than the sum of its proper divisors (217800831967680).

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

70315999041600 is a wasteful number, since it uses less digits than its factorization.

70315999041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448850 (or 448823 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 70315999041600 in words is "seventy trillion, three hundred fifteen billion, nine hundred ninety-nine million, forty-one thousand, six hundred".