70085084160 has 1584 divisors, whose sum is σ = 307472500800. Its totient is φ = 13525843968.

The previous prime is 70085084159. The next prime is 70085084161. The reversal of 70085084160 is 6148058007.

It is an interprime number because it is at equal distance from previous prime (70085084159) and next prime (70085084161).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (70085084161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2416727026 + ... + 2416727054.

Almost surely, 2^70085084160 is an apocalyptic number.

70085084160 is a gapful number since it is divisible by the number (70) 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 70085084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153736250400).

70085084160 is an abundant number, since it is smaller than the sum of its proper divisors (237387416640).

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

70085084160 is a wasteful number, since it uses less digits than its factorization.

70085084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 70085084160 in words is "seventy billion, eighty-five million, eighty-four thousand, one hundred sixty".