70085167488 has 512 divisors, whose sum is σ = 244937088000. Its totient is φ = 19313344512.

The previous prime is 70085167447. The next prime is 70085167507. The reversal of 70085167488 is 88476158007.

It is a happy number.

70085167488 is a `hidden beast` number, since 70 + 0 + 85 + 16 + 7 + 488 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92582406 + ... + 92583162.

It is an arithmetic number, because the mean of its divisors is an integer number (478392750).

Almost surely, 2^70085167488 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 70085167488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122468544000).

70085167488 is an abundant number, since it is smaller than the sum of its proper divisors (174851920512).

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

70085167488 is a wasteful number, since it uses less digits than its factorization.

70085167488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 70085167488 in words is "seventy billion, eighty-five million, one hundred sixty-seven thousand, four hundred eighty-eight".